Question 1

Find the missing monomial, factor or term.
-$-9 x^{3}(?)=45 x^{7}-72 x^{5}-72 x^{3}$

Accepted Answer

A)  $-5 x^{4}+8 x^{2}+8 x$ 
B)  $-5 x^{4}+8 x^{2}-8$ 
C)  $-5 x^{4}+8 x^{2}+8$ 
D)  $-5 x^{4}-8 x^{2}+8$ 
A)  $-5 x^{4}+8 x^{2}+8 x$ 
B)  $-5 x^{4}+8 x^{2}-8$ 
C)  $-5 x^{4}+8 x^{2}+8$ 
D)  $-5 x^{4}-8 x^{2}+8$

Question 2

Divide using synthetic division
-$\frac{3 x^{5}-41 x^{3}-29 x^{2}+9 x-20}{x-4}$

Accepted Answer

A)  $3 x^{4}-12 x^{3}+7 x^{2}+x+5$ 
B)  $3 x^{4}+12 x^{3}+7 x^{2}-x+5$ 
C)  $3 x^{4}-12 x^{3}+7 x^{2}+x+5+\frac{67}{x-4}$ 
D)  $3 x^{4}+12 x^{3}+7 x^{2}-x+5+\frac{67}{x-4}$ 
A)  $3 x^{4}-12 x^{3}+7 x^{2}+x+5$ 
B)  $3 x^{4}+12 x^{3}+7 x^{2}-x+5$ 
C)  $3 x^{4}-12 x^{3}+7 x^{2}+x+5+\frac{67}{x-4}$ 
D)  $3 x^{4}+12 x^{3}+7 x^{2}-x+5+\frac{67}{x-4}$

Question 3

Convert the given number to scientific notation
-$1,067,000,000,000,000$

Accepted Answer

A)  $1067 \times 10^{-12}$ 
B)  $1.067 \times 10^{-15}$ 
C)  $1.067 \times 10^{15}$ 
D)  $1067 \times 10^{12}$ 
A)  $1067 \times 10^{-12}$ 
B)  $1.067 \times 10^{-15}$ 
C)  $1.067 \times 10^{15}$ 
D)  $1067 \times 10^{12}$

Question 4

Choose the polynomial that has the given factor.
-$5 \mathrm{x}-3$

Accepted Answer

A)  $10 x^{2}-46 x-24$ 
B)  $x^{2}-46 x+24$ 
C)  $10 x^{2}+34 x+24$ 
D)  $10 x^{2}-46 x+24$ 
A)  $10 x^{2}-46 x-24$ 
B)  $x^{2}-46 x+24$ 
C)  $10 x^{2}+34 x+24$ 
D)  $10 x^{2}-46 x+24$

Question 5

Choose the one alternative that best completes the statement or answers thequestion.
-$x^{4} \cdot x^{11}$

Accepted Answer

A)  $(2 x)^{44}$ 
B)  $(2 x)^{15}$ 
C)  $x^{44}$ 
D)  $x^{15}$ 
A)  $(2 x)^{44}$ 
B)  $(2 x)^{15}$ 
C)  $x^{44}$ 
D)  $x^{15}$

Question 6

The product of the page numbers on two facing pages of a book is 210. Find the page numbers.

Accepted Answer

A)  14,15 
B)  14,16 
C)  13,14 
D)  13,15 
A)  14,15 
B)  14,16 
C)  13,14 
D)  13,15

Question 7

Convert the given number to scientific notation
-85,000

Accepted Answer

A)  $8.5 \times 10^{4}$ 
B)  $8.5 \times 10^{-4}$ 
C)  $8.5 \times 10^{-5}$ 
D)  $8.5 \times 10^{5}$ 
A)  $8.5 \times 10^{4}$ 
B)  $8.5 \times 10^{-4}$ 
C)  $8.5 \times 10^{-5}$ 
D)  $8.5 \times 10^{5}$

Question 8

List the degree of each term and the degree of the polynomial.
-$x^{14} y^{8} z^{12}+5 x^{5} y^{18} z^{18}-10 x^{7} y^{7} z^{4}$

Accepted Answer

A)  34, 41, 18; polynomial: 41 
B)  12, 18, 18; polynomial: 18 
C)  1344, 1620, 18; polynomial: 1620 
D)  264, 41, 18; polynomial: 264 
A)  34, 41, 18; polynomial: 41 
B)  12, 18, 18; polynomial: 18 
C)  1344, 1620, 18; polynomial: 1620 
D)  264, 41, 18; polynomial: 264

Question 9

Determine the coefficient and the degree of each term in the polynomial.
-$x^{7}+11 x^{5}-x-8$

Accepted Answer

A)  Coefficients: 1, 11, 1, 8 ; degrees: 7, 5, 1, 0 
B)  Coefficients: 1, 11, - 1, - 8 ;degrees: 7, 5, 1, 0 
C)  Coefficients: 1, 11, - 1, 8 ;degrees: 7, 6, 1, 0 
D)  Coefficients: 1, 11, 0, - 8 ;degrees: 7, 5, 1, 1 
A)  Coefficients: 1, 11, 1, 8 ; degrees: 7, 5, 1, 0 
B)  Coefficients: 1, 11, - 1, - 8 ;degrees: 7, 5, 1, 0 
C)  Coefficients: 1, 11, - 1, 8 ;degrees: 7, 6, 1, 0 
D)  Coefficients: 1, 11, 0, - 8 ;degrees: 7, 5, 1, 1

Question 10

Factor completely. If the polynomial cannot be factored, write "prime."
-$49 k^{2}-9 m^{2}$

Accepted Answer

A)  $(7 \mathrm{k}+3 \mathrm{~m})^{2}$ 
B)  $(49 k+m)(k-9 m)$ 
C)  $(7 \mathrm{k}+3 \mathrm{~m})(7 \mathrm{k}-3 \mathrm{~m})$ 
D)  $(7 \mathrm{k}-3 \mathrm{~m})^{2}$ 
A)  $(7 \mathrm{k}+3 \mathrm{~m})^{2}$ 
B)  $(49 k+m)(k-9 m)$ 
C)  $(7 \mathrm{k}+3 \mathrm{~m})(7 \mathrm{k}-3 \mathrm{~m})$ 
D)  $(7 \mathrm{k}-3 \mathrm{~m})^{2}$

Question 11

Divide using synthetic division
-$\frac{10 x^{2}-117 x-77}{x-11}$

Accepted Answer

A)  $10 x-7$ 
B)  $10 x+7$ 
C)  $10 x-7-\frac{154}{x-11}$ 
D)  $10 x-7+\frac{154}{x-11}$ 
A)  $10 x-7$ 
B)  $10 x+7$ 
C)  $10 x-7-\frac{154}{x-11}$ 
D)  $10 x-7+\frac{154}{x-11}$

Question 12

Find the GCF.
-$10 x^{3} y^{2}, 40 x^{9} y, 100 x^{4} y^{5} z$

Accepted Answer

A)  $10 x^ 6 y ^5$ 
B)  $400 x^{6}$ 
C)  $10 x^{3} y$ 
D)  $40 x^{3} z$ 
A)  $10 x^ 6 y ^5$ 
B)  $400 x^{6}$ 
C)  $10 x^{3} y$ 
D)  $40 x^{3} z$

Question 13

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.)
-$\frac{x^{4} x^{-9}}{x^{-5}}$

Accepted Answer

A)  $\frac{x^{4} x^{5}}{x^{9}}$ 
B)  1 
C)  -1 
D)  0 
A)  $\frac{x^{4} x^{5}}{x^{9}}$ 
B)  1 
C)  -1 
D)  0

Question 14

Factor completely. If the polynomial cannot be factored, write "prime."
-$x^{2}+14 x+49$

Accepted Answer

A)  $(x-14)(x+14)$ 
B)  $(x+7)^{2}$ 
C)  $(x-7)^{2}$ 
D)  $(x-7)(x+7)$ 
A)  $(x-14)(x+14)$ 
B)  $(x+7)^{2}$ 
C)  $(x-7)^{2}$ 
D)  $(x-7)(x+7)$

Question 15

Factor the GCF out of the given expression.
-$x(x+4)-2(x+4)$

Accepted Answer

A)  $(x-2)(x+4)$ 
B)  $(x+2)(x-4)$ 
C)  $(x-2)(x-4)$ 
D)  $(x+2)(x+4)$ 
A)  $(x-2)(x+4)$ 
B)  $(x+2)(x-4)$ 
C)  $(x-2)(x-4)$ 
D)  $(x+2)(x+4)$

Question 16

$(x-3)(x+6)=0$

Accepted Answer

A)  $\{3,6\}$ 
B)  $\{3,-6\}$ 
C)  $\{3,-3,6,-6\}$ 
D)  $\{-3,6\}$ 
A)  $\{3,6\}$ 
B)  $\{3,-6\}$ 
C)  $\{3,-3,6,-6\}$ 
D)  $\{-3,6\}$

Question 17

Find the missing monomial, factor or term.
-$(x+?)(x+?)=x^{2}+12 x+32$

Accepted Answer

A)  4,8 
B)  $4,-8$ 
C)  $-4,8$ 
D)  $-4,-8$ 
A)  4,8 
B)  $4,-8$ 
C)  $-4,8$ 
D)  $-4,-8$

Question 18

Factor completely. If the polynomial cannot be factored, write "prime."
-$8 x^{6}-10 x^{3}-12 x^{3}+15$

Accepted Answer

A)  $\left(8 x^{3}+3\right)\left(x^{3}+5\right)$ 
B)  $\left(2 x^{3}+3\right)\left(4 x^{3}+5\right)$ 
C)  $\left(2 x^{3}-3\right)\left(4 x^{3}-5\right)$ 
D)  $\left(2 x^{6}-3\right)(4 x-5)$ 
A)  $\left(8 x^{3}+3\right)\left(x^{3}+5\right)$ 
B)  $\left(2 x^{3}+3\right)\left(4 x^{3}+5\right)$ 
C)  $\left(2 x^{3}-3\right)\left(4 x^{3}-5\right)$ 
D)  $\left(2 x^{6}-3\right)(4 x-5)$

Question 19

$-7(x-7)(x+8)=0$

Accepted Answer

A)  $\{7,7,-8\}$ 
B)  $\{7,8\}$ 
C)  $\{-7,8\}$ 
D)  $\{7,-8\}$ 
A)  $\{7,7,-8\}$ 
B)  $\{7,8\}$ 
C)  $\{-7,8\}$ 
D)  $\{7,-8\}$

Question 20

Divide using long division.
-$\left(x^{2}+16 x+64\right) \div(x+8)$

Accepted Answer

A)  $x+8$ 
B)  $x^{2}+8$ 
C)  $x-8$ 
D)  $x+\frac{8}{x+8}$ 
A)  $x+8$ 
B)  $x^{2}+8$ 
C)  $x-8$ 
D)  $x+\frac{8}{x+8}$

Find the missing monomial, factor or term. - $-9 x^{3}(?)=45 x^{7}-72 x^{5}-72 x^{3}$

Divide using synthetic division - $\frac{3 x^{5}-41 x^{3}-29 x^{2}+9 x-20}{x-4}$

Convert the given number to scientific notation - $1,067,000,000,000,000$

Choose the polynomial that has the given factor. - $5 \mathrm{x}-3$

Choose the one alternative that best completes the statement or answers thequestion. - $x^{4} \cdot x^{11}$

The product of the page numbers on two facing pages of a book is 210. Find the page numbers.

Convert the given number to scientific notation -85,000

List the degree of each term and the degree of the polynomial. - $x^{14} y^{8} z^{12}+5 x^{5} y^{18} z^{18}-10 x^{7} y^{7} z^{4}$

Determine the coefficient and the degree of each term in the polynomial. - $x^{7}+11 x^{5}-x-8$

Factor completely. If the polynomial cannot be factored, write "prime." - $49 k^{2}-9 m^{2}$

Divide using synthetic division - $\frac{10 x^{2}-117 x-77}{x-11}$

Find the GCF. - $10 x^{3} y^{2}, 40 x^{9} y, 100 x^{4} y^{5} z$

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.) - $\frac{x^{4} x^{-9}}{x^{-5}}$

Factor completely. If the polynomial cannot be factored, write "prime." - $x^{2}+14 x+49$

Factor the GCF out of the given expression. - $x(x+4)-2(x+4)$

$(x-3)(x+6)=0$

Find the missing monomial, factor or term. - $(x+?)(x+?)=x^{2}+12 x+32$

Factor completely. If the polynomial cannot be factored, write "prime." - $8 x^{6}-10 x^{3}-12 x^{3}+15$

$-7(x-7)(x+8)=0$

Divide using long division. - $\left(x^{2}+16 x+64\right) \div(x+8)$

Review of Real Numbers

Linear and Absolute Value Equations and Inequalities

Graphing Linear Equations

Systems of Equations

Rational Expressions and Equations

Radical Expressions and Equations

Quadratic Equations

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 5: Exponents, Polynomials, and Factoring Polynomials

Find the missing monomial, factor or term. - −9x3(?)=45x7−72x5−72x3-9 x^{3}(?)=45 x^{7}-72 x^{5}-72 x^{3}−9x3(?)=45x7−72x5−72x3

Divide using synthetic division - 3x5−41x3−29x2+9x−20x−4\frac{3 x^{5}-41 x^{3}-29 x^{2}+9 x-20}{x-4}x−43x5−41x3−29x2+9x−20​

Convert the given number to scientific notation - 1,067,000,000,000,0001,067,000,000,000,0001,067,000,000,000,000

Choose the polynomial that has the given factor. - 5x−35 \mathrm{x}-35x−3

Choose the one alternative that best completes the statement or answers thequestion. - x4⋅x11x^{4} \cdot x^{11}x4⋅x11

The product of the page numbers on two facing pages of a book is 210. Find the page numbers.

Convert the given number to scientific notation -85,000

List the degree of each term and the degree of the polynomial. - x14y8z12+5x5y18z18−10x7y7z4x^{14} y^{8} z^{12}+5 x^{5} y^{18} z^{18}-10 x^{7} y^{7} z^{4}x14y8z12+5x5y18z18−10x7y7z4

Determine the coefficient and the degree of each term in the polynomial. - x7+11x5−x−8x^{7}+11 x^{5}-x-8x7+11x5−x−8

Factor completely. If the polynomial cannot be factored, write "prime." - 49k2−9m249 k^{2}-9 m^{2}49k2−9m2

Divide using synthetic division - 10x2−117x−77x−11\frac{10 x^{2}-117 x-77}{x-11}x−1110x2−117x−77​

Find the GCF. - 10x3y2,40x9y,100x4y5z10 x^{3} y^{2}, 40 x^{9} y, 100 x^{4} y^{5} z10x3y2,40x9y,100x4y5z

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.) - x4x−9x−5\frac{x^{4} x^{-9}}{x^{-5}}x−5x4x−9​

Factor completely. If the polynomial cannot be factored, write "prime." - x2+14x+49x^{2}+14 x+49x2+14x+49

Factor the GCF out of the given expression. - x(x+4)−2(x+4)x(x+4)-2(x+4)x(x+4)−2(x+4)

(x−3)(x+6)=0(x-3)(x+6)=0(x−3)(x+6)=0

Find the missing monomial, factor or term. - (x+?)(x+?)=x2+12x+32(x+?)(x+?)=x^{2}+12 x+32(x+?)(x+?)=x2+12x+32

Factor completely. If the polynomial cannot be factored, write "prime." - 8x6−10x3−12x3+158 x^{6}-10 x^{3}-12 x^{3}+158x6−10x3−12x3+15

−7(x−7)(x+8)=0-7(x-7)(x+8)=0−7(x−7)(x+8)=0

Divide using long division. - (x2+16x+64)÷(x+8)\left(x^{2}+16 x+64\right) \div(x+8)(x2+16x+64)÷(x+8)

Review of Real Numbers

Linear and Absolute Value Equations and Inequalities

Graphing Linear Equations

Systems of Equations

Rational Expressions and Equations

Radical Expressions and Equations

Quadratic Equations

Logarithmic and Exponential Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Find the missing monomial, factor or term. - $-9 x^{3}(?)=45 x^{7}-72 x^{5}-72 x^{3}$

Divide using synthetic division - $\frac{3 x^{5}-41 x^{3}-29 x^{2}+9 x-20}{x-4}$

Convert the given number to scientific notation - $1,067,000,000,000,000$

Choose the polynomial that has the given factor. - $5 \mathrm{x}-3$

Choose the one alternative that best completes the statement or answers thequestion. - $x^{4} \cdot x^{11}$

List the degree of each term and the degree of the polynomial. - $x^{14} y^{8} z^{12}+5 x^{5} y^{18} z^{18}-10 x^{7} y^{7} z^{4}$

Determine the coefficient and the degree of each term in the polynomial. - $x^{7}+11 x^{5}-x-8$

Factor completely. If the polynomial cannot be factored, write "prime." - $49 k^{2}-9 m^{2}$

Divide using synthetic division - $\frac{10 x^{2}-117 x-77}{x-11}$

Find the GCF. - $10 x^{3} y^{2}, 40 x^{9} y, 100 x^{4} y^{5} z$

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.) - $\frac{x^{4} x^{-9}}{x^{-5}}$

Factor completely. If the polynomial cannot be factored, write "prime." - $x^{2}+14 x+49$

Factor the GCF out of the given expression. - $x(x+4)-2(x+4)$

$(x-3)(x+6)=0$

Find the missing monomial, factor or term. - $(x+?)(x+?)=x^{2}+12 x+32$

Factor completely. If the polynomial cannot be factored, write "prime." - $8 x^{6}-10 x^{3}-12 x^{3}+15$

$-7(x-7)(x+8)=0$

Divide using long division. - $\left(x^{2}+16 x+64\right) \div(x+8)$