Question 1

Write the expression with only positive exponents. Assume all variables represent nonzero numbers. Simplify if necessary.
-$10^{-1}-4^{-1}$

Accepted Answer

A)  $-\frac{1}{6}$ 
B)  $-\frac{20}{3}$ 
C)  $-\frac{3}{20}$ 
D)  $\frac{3}{20}$ 
A)  $-\frac{1}{6}$ 
B)  $-\frac{20}{3}$ 
C)  $-\frac{3}{20}$ 
D)  $\frac{3}{20}$

Question 2

$(3 x+11 y)^{2}$

Accepted Answer

A)  $9 x^{2}+121 y^{2}$ 
B)  $3 x^{2}+121 y^{2}$ 
C)  $3 x^{2}+66 x y+121 y^{2}$ 
D)  $9 x^{2}+66 x y+121 y^{2}$ 
A)  $9 x^{2}+121 y^{2}$ 
B)  $3 x^{2}+121 y^{2}$ 
C)  $3 x^{2}+66 x y+121 y^{2}$ 
D)  $9 x^{2}+66 x y+121 y^{2}$

Question 3

Evaluate the expression.
-$13^{0}$

Accepted Answer

A)  -1 
B)  0 
C)  13 
D)  1 
A)  -1 
B)  0 
C)  13 
D)  1

Question 4

Find the product
-$\left(2 \mathrm{k}^{2}-2 \mathrm{k}+5\right)\left(\mathrm{k}^{2}+2 \mathrm{k}-2\right)$

Accepted Answer

A)  $2 \mathrm{k}^{4}+2 \mathrm{k}^{3}-3 \mathrm{k}^{2}+14 \mathrm{k}-10$ 
B)  $2 \mathrm{k}^{4}+4 \mathrm{k}^{3}-8 \mathrm{k}^{2}+14 \mathrm{k}-10$ 
C)  $2 k^{4}+4 k^{3}-3 k^{2}+14 k-10$ 
D)  $2 \mathrm{k}^{4}+2 \mathrm{k}^{3}-8 \mathrm{k}^{2}+14 \mathrm{k}-10$ 
A)  $2 \mathrm{k}^{4}+2 \mathrm{k}^{3}-3 \mathrm{k}^{2}+14 \mathrm{k}-10$ 
B)  $2 \mathrm{k}^{4}+4 \mathrm{k}^{3}-8 \mathrm{k}^{2}+14 \mathrm{k}-10$ 
C)  $2 k^{4}+4 k^{3}-3 k^{2}+14 k-10$ 
D)  $2 \mathrm{k}^{4}+2 \mathrm{k}^{3}-8 \mathrm{k}^{2}+14 \mathrm{k}-10$

Question 5

$P(y)=-2 y^{3}-15 y^{2}-24 y-36$. Find $P(-6)$. What does your answer tell you about the division problem below?

Accepted Answer

@#LAT-DLM&; thus, there will b

Question 6

For the pair of functions, find the quotient $\left(\frac{f}{g}\right)(x)$ and give any $x$-values that are not in the domain of the quotient function.
-$f(x)=7 x^{2}-44 x-35, g(x)=x-7$

Accepted Answer

A)  $7 x+5 ; x \neq-7$ 
B)  $7 x-5 ; x \neq-7$ 
C)  $7 x+5 ; x \neq 7$ 
D)  $7 x-5 ; x \neq 7$ 
A)  $7 x+5 ; x \neq-7$ 
B)  $7 x-5 ; x \neq-7$ 
C)  $7 x+5 ; x \neq 7$ 
D)  $7 x-5 ; x \neq 7$

Question 7

Give the numerical coefficient and the degree of the term.
-$x$

Accepted Answer

A)  Coefficient: 0; degree: 0 
B)  Coefficient: 1 ; degree: 0 
C)  Coefficient: 1 ; degree: 1 
D)  Coefficient: 0; degree: 1 
A)  Coefficient: 0; degree: 0 
B)  Coefficient: 1 ; degree: 0 
C)  Coefficient: 1 ; degree: 1 
D)  Coefficient: 0; degree: 1

Question 8

The area of a rectangle is $18 m^{2}+3 m-6$. Find the length if the width is $6 m-3$.

Accepted Answer

A)  $3 m-2$ 
B)  $18 \mathrm{~m}-2$ 
C)  $3 m+2$ 
D)  $18 m+2$ 
A)  $3 m-2$ 
B)  $18 \mathrm{~m}-2$ 
C)  $3 m+2$ 
D)  $18 m+2$

Question 9

Add or subtract as indicated.
-Add
$\begin{array}{r}
-7 z^{4}+5 z^{3} \
-z^{3}+13 z
\end{array}$

Accepted Answer

A)  $-7 z^{4}+6 z^{3}-13 z$ 
B)  $-7 z^{4}+4 z^{3}+13 z$ 
C)  $-7 z^{4}+6 z^{3}+13 z$ 
D)  $-6 z^{4}+5 z^{3}-13 z$ 
A)  $-7 z^{4}+6 z^{3}-13 z$ 
B)  $-7 z^{4}+4 z^{3}+13 z$ 
C)  $-7 z^{4}+6 z^{3}+13 z$ 
D)  $-6 z^{4}+5 z^{3}-13 z$

Question 10

Give the numerical coefficient and the degree of the term.
-$4 z$

Accepted Answer

A)  Coefficient: 1 ; degree: 4 
B)  Coefficient: 4; degree: 1 
C)  Coefficient: 0; degree: 4 
D)  Coefficient: 4; degree: 0 
A)  Coefficient: 1 ; degree: 4 
B)  Coefficient: 4; degree: 1 
C)  Coefficient: 0; degree: 4 
D)  Coefficient: 4; degree: 0

Question 11

Find the requested value.
-If $f(x)=x^{2}+5 x+9$ and $g(x)=5 x-1$, find $(f g)(-4)$.

Accepted Answer

A)  -873 
B)  43 
C)  25 
D)  -105 
A)  -873 
B)  43 
C)  25 
D)  -105

Question 12

Add or subtract as indicated.
-$\left(-8-2 x^{3}+4 x^{5}+4 x^{4}\right)+\left(5 x^{4}-4 x^{3}-9+3 x^{5}\right)$

Accepted Answer

A)  $-3 x^{5}-3 x^{4}-5 x^{3}+7$ 
B)  $7 x^{10}+9 x^{8}-6 x^{6}-17$ 
C)  $10 x^{24}-17$ 
D)  $7 x^{5}+9 x^{4}-6 x^{3}-17$ 
A)  $-3 x^{5}-3 x^{4}-5 x^{3}+7$ 
B)  $7 x^{10}+9 x^{8}-6 x^{6}-17$ 
C)  $10 x^{24}-17$ 
D)  $7 x^{5}+9 x^{4}-6 x^{3}-17$

Question 13

Express the area of the figure as a polynomial in descending powers of the variable $x$.
-

Accepted Answer

A)  $3 x^{2}-19 x+12$ 
B)  $-4 x^{2}+12 x+12$ 
C)  $4 x^{2}+19 x-8$ 
D)  $4 x^{2}+13 x-12$ 
A)  $3 x^{2}-19 x+12$ 
B)  $-4 x^{2}+12 x+12$ 
C)  $4 x^{2}+19 x-8$ 
D)  $4 x^{2}+13 x-12$

Question 14

$(3 x-8 y)^{2}$

Accepted Answer

A)  $9 x^{2}+64 y^{2}$ 
B)  $9 x^{2}-48 x y+64 y^{2}$ 
C)  $3 x^{2}+64 y^{2}$ 
D)  $3 x^{2}-48 x y+64 y^{2}$ 
A)  $9 x^{2}+64 y^{2}$ 
B)  $9 x^{2}-48 x y+64 y^{2}$ 
C)  $3 x^{2}+64 y^{2}$ 
D)  $3 x^{2}-48 x y+64 y^{2}$

Question 15

For the polynomial function, find the requested value.
-$f(x)=3 x^{3}-2 x^{2}+46 ; f(-2)$

Accepted Answer

A)  4 
B)  26 
C)  2 
D)  14 
A)  4 
B)  26 
C)  2 
D)  14

Question 16

Find the product
-$-9 x^{4}\left(9 x^{6}-8 x^{2}\right)$

Accepted Answer

A)  $-81 x^{10}-8 x^{2}$ 
B)  $-9 x^{4}$ 
C)  $-9 x^{10}-9 x^{6}$ 
D)  $-81 x^{10}+72 x^{6}$ 
A)  $-81 x^{10}-8 x^{2}$ 
B)  $-9 x^{4}$ 
C)  $-9 x^{10}-9 x^{6}$ 
D)  $-81 x^{10}+72 x^{6}$

Question 17

For the pair of functions, find the product $(f g)(x)$.
-$f(x)=6 x, g(x)=8 x-6$

Accepted Answer

A)  $14 x^{2}-6 x$ 
B)  $-48 x^{2}-36 x$ 
C)  $48 x-36$ 
D)  $48 x^{2}-36 x$ 
A)  $14 x^{2}-6 x$ 
B)  $-48 x^{2}-36 x$ 
C)  $48 x-36$ 
D)  $48 x^{2}-36 x$

Question 18

Choose the one alternative that best completes the statement or answers the question.
Divide
-$\frac{-10 x^{3}-7 x^{2}+22 x-8}{5 x-4}$

Accepted Answer

A)  $-2 x^{2}+2$ 
B)  $x^{2}+3 x-2$ 
C)  $x^{2}-3 x+2$ 
D)  $-2 x^{2}-3 x+2$ 
A)  $-2 x^{2}+2$ 
B)  $x^{2}+3 x-2$ 
C)  $x^{2}-3 x+2$ 
D)  $-2 x^{2}-3 x+2$

Question 19

Choose the one alternative that best completes the statement or answers the question.
Divide
-$\frac{x^{2}-11 x+30}{x-5}$

Accepted Answer

A)  $6-x$ 
B)  $x-6$ 
C)  $x+5$ 
D)  $x+6$ 
A)  $6-x$ 
B)  $x-6$ 
C)  $x+5$ 
D)  $x+6$

Question 20

Tell whether the statement is .
-A polynomial is a trinomial.

Accepted Answer

A)  Always 
B)  Never 
C)  Sometimes 
A)  Always 
B)  Never 
C)  Sometimes

Write the expression with only positive exponents. Assume all variables represent nonzero numbers. Simplify if necessary. - $10^{-1}-4^{-1}$

$(3 x+11 y)^{2}$

Evaluate the expression. - $13^{0}$

Find the product - $\left(2 \mathrm{k}^{2}-2 \mathrm{k}+5\right)\left(\mathrm{k}^{2}+2 \mathrm{k}-2\right)$

$P(y)=-2 y^{3}-15 y^{2}-24 y-36$ . Find $P(-6)$ . What does your answer tell you about the division problem below? $P(y)=-2 y^{3}-15 y^{2}-24 y-36 . Find P(-6) . What does your answer tell you about the division problem below?$

For the pair of functions, find the quotient $\left(\frac{f}{g}\right)(x)$ and give any $x$ -values that are not in the domain of the quotient function. - $f(x)=7 x^{2}-44 x-35, g(x)=x-7$

Give the numerical coefficient and the degree of the term. - $x$

The area of a rectangle is $18 m^{2}+3 m-6$ . Find the length if the width is $6 m-3$ .

Add or subtract as indicated. -Add -7+5 -+13z

Give the numerical coefficient and the degree of the term. - $4 z$

Find the requested value. -If $f(x)=x^{2}+5 x+9$ and $g(x)=5 x-1$ , find $(f g)(-4)$ .

Add or subtract as indicated. - $\left(-8-2 x^{3}+4 x^{5}+4 x^{4}\right)+\left(5 x^{4}-4 x^{3}-9+3 x^{5}\right)$

Express the area of the figure as a polynomial in descending powers of the variable $x$ . -

$(3 x-8 y)^{2}$

For the polynomial function, find the requested value. - $f(x)=3 x^{3}-2 x^{2}+46 ; f(-2)$

Find the product - $-9 x^{4}\left(9 x^{6}-8 x^{2}\right)$

For the pair of functions, find the product $(f g)(x)$ . - $f(x)=6 x, g(x)=8 x-6$

Choose the one alternative that best completes the statement or answers the question. Divide - $\frac{-10 x^{3}-7 x^{2}+22 x-8}{5 x-4}$

Choose the one alternative that best completes the statement or answers the question. Divide - $\frac{x^{2}-11 x+30}{x-5}$

Tell whether the statement is . -A polynomial is a trinomial.

Review of the Real Number System

Linear Equations, Inequalities, and Applications

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Exam 5: Exponents, Polynomials, and Polynomial Functions

Write the expression with only positive exponents. Assume all variables represent nonzero numbers. Simplify if necessary. - 10−1−4−110^{-1}-4^{-1}10−1−4−1

(3x+11y)2(3 x+11 y)^{2}(3x+11y)2

Evaluate the expression. - 13013^{0}130

Find the product - (2k2−2k+5)(k2+2k−2)\left(2 \mathrm{k}^{2}-2 \mathrm{k}+5\right)\left(\mathrm{k}^{2}+2 \mathrm{k}-2\right)(2k2−2k+5)(k2+2k−2)

P(y)=−2y3−15y2−24y−36P(y)=-2 y^{3}-15 y^{2}-24 y-36P(y)=−2y3−15y2−24y−36 . Find P(−6)P(-6)P(−6) . What does your answer tell you about the division problem below?

For the pair of functions, find the quotient (fg)(x)\left(\frac{f}{g}\right)(x)(gf​)(x) and give any xxx -values that are not in the domain of the quotient function. - f(x)=7x2−44x−35,g(x)=x−7f(x)=7 x^{2}-44 x-35, g(x)=x-7f(x)=7x2−44x−35,g(x)=x−7

Give the numerical coefficient and the degree of the term. - xxx

The area of a rectangle is 18m2+3m−618 m^{2}+3 m-618m2+3m−6 . Find the length if the width is 6m−36 m-36m−3 .

Add or subtract as indicated. -Add -7+5 -+13z

Give the numerical coefficient and the degree of the term. - 4z4 z4z

Find the requested value. -If f(x)=x2+5x+9f(x)=x^{2}+5 x+9f(x)=x2+5x+9 and g(x)=5x−1g(x)=5 x-1g(x)=5x−1 , find (fg)(−4)(f g)(-4)(fg)(−4) .

Add or subtract as indicated. - (−8−2x3+4x5+4x4)+(5x4−4x3−9+3x5)\left(-8-2 x^{3}+4 x^{5}+4 x^{4}\right)+\left(5 x^{4}-4 x^{3}-9+3 x^{5}\right)(−8−2x3+4x5+4x4)+(5x4−4x3−9+3x5)

Express the area of the figure as a polynomial in descending powers of the variable xxx . -

(3x−8y)2(3 x-8 y)^{2}(3x−8y)2

For the polynomial function, find the requested value. - f(x)=3x3−2x2+46;f(−2)f(x)=3 x^{3}-2 x^{2}+46 ; f(-2)f(x)=3x3−2x2+46;f(−2)

Find the product - −9x4(9x6−8x2)-9 x^{4}\left(9 x^{6}-8 x^{2}\right)−9x4(9x6−8x2)

For the pair of functions, find the product (fg)(x)(f g)(x)(fg)(x) . - f(x)=6x,g(x)=8x−6f(x)=6 x, g(x)=8 x-6f(x)=6x,g(x)=8x−6

Choose the one alternative that best completes the statement or answers the question. Divide - −10x3−7x2+22x−85x−4\frac{-10 x^{3}-7 x^{2}+22 x-8}{5 x-4}5x−4−10x3−7x2+22x−8​

Choose the one alternative that best completes the statement or answers the question. Divide - x2−11x+30x−5\frac{x^{2}-11 x+30}{x-5}x−5x2−11x+30​

Tell whether the statement is . -A polynomial is a trinomial.

Review of the Real Number System

Linear Equations, Inequalities, and Applications

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Write the expression with only positive exponents. Assume all variables represent nonzero numbers. Simplify if necessary. - $10^{-1}-4^{-1}$

$(3 x+11 y)^{2}$

Evaluate the expression. - $13^{0}$

Find the product - $\left(2 \mathrm{k}^{2}-2 \mathrm{k}+5\right)\left(\mathrm{k}^{2}+2 \mathrm{k}-2\right)$

$P(y)=-2 y^{3}-15 y^{2}-24 y-36$ . Find $P(-6)$ . What does your answer tell you about the division problem below? $P(y)=-2 y^{3}-15 y^{2}-24 y-36 . Find P(-6) . What does your answer tell you about the division problem below?$

For the pair of functions, find the quotient $\left(\frac{f}{g}\right)(x)$ and give any $x$ -values that are not in the domain of the quotient function. - $f(x)=7 x^{2}-44 x-35, g(x)=x-7$

Give the numerical coefficient and the degree of the term. - $x$

The area of a rectangle is $18 m^{2}+3 m-6$ . Find the length if the width is $6 m-3$ .

Give the numerical coefficient and the degree of the term. - $4 z$

Find the requested value. -If $f(x)=x^{2}+5 x+9$ and $g(x)=5 x-1$ , find $(f g)(-4)$ .

Add or subtract as indicated. - $\left(-8-2 x^{3}+4 x^{5}+4 x^{4}\right)+\left(5 x^{4}-4 x^{3}-9+3 x^{5}\right)$

Express the area of the figure as a polynomial in descending powers of the variable $x$ . -

$(3 x-8 y)^{2}$

For the polynomial function, find the requested value. - $f(x)=3 x^{3}-2 x^{2}+46 ; f(-2)$

Find the product - $-9 x^{4}\left(9 x^{6}-8 x^{2}\right)$

For the pair of functions, find the product $(f g)(x)$ . - $f(x)=6 x, g(x)=8 x-6$

Choose the one alternative that best completes the statement or answers the question. Divide - $\frac{-10 x^{3}-7 x^{2}+22 x-8}{5 x-4}$

Choose the one alternative that best completes the statement or answers the question. Divide - $\frac{x^{2}-11 x+30}{x-5}$