Question 1

Factor completely. If the polynomial cannot be factored, write "prime."
-$4 x^{2}-49$

Accepted Answer

A)  $(2 x+7)^{2}$ 
B)  $(2 x+7)(2 x-7)$ 
C)  $(2 x-7)^{2}$ 
D)  $(4 x+1)(x-49)$ 
A)  $(2 x+7)^{2}$ 
B)  $(2 x+7)(2 x-7)$ 
C)  $(2 x-7)^{2}$ 
D)  $(4 x+1)(x-49)$

Question 2

Factor completely. If the polynomial cannot be factored, write "prime."
-$125 \mathrm{a}^{3}-8 \mathrm{~b}^{3}$

Accepted Answer

A)  $\left(5 a+2 b^{2}\right)\left(25 a^{2}-10 a b+4 b^{2}\right)$ 
B)  $(5 a-2 b)\left(25 a^{2}+10 a b+4 b 2\right)$ 
C)  $(5 a-2 b)\left(25 a^{2}+4 b^{2}\right)$ 
D)  $(125 a-2 b)\left(a^{2}+10 a b+4 b^{2}\right)$ 
A)  $\left(5 a+2 b^{2}\right)\left(25 a^{2}-10 a b+4 b^{2}\right)$ 
B)  $(5 a-2 b)\left(25 a^{2}+10 a b+4 b 2\right)$ 
C)  $(5 a-2 b)\left(25 a^{2}+4 b^{2}\right)$ 
D)  $(125 a-2 b)\left(a^{2}+10 a b+4 b^{2}\right)$

Question 3

Evaluate the polynomial or polynomial function for the given value of the variable.
-$f(x)=6 x^{3}-4 x^{2}+46, f(-2)$

Accepted Answer

A)  -18 
B)  6 
C)  -28 
D)  - 30 
A)  -18 
B)  6 
C)  -28 
D)  - 30

Question 4

Find the GCF.
-104, 208

Accepted Answer

A)  8 
B)  52 
C)  13 
D)  104 
A)  8 
B)  52 
C)  13 
D)  104

Question 5

Convert the given number to scientific notation
-0.000003974

Accepted Answer

A)  $3.974 \times 10^{-5}$ 
B)  $3.974 \times 10^{-7}$ 
C)  $3.974 \times 10^{-6}$ 
D)  $3.974 \times 10^{6}$ 
A)  $3.974 \times 10^{-5}$ 
B)  $3.974 \times 10^{-7}$ 
C)  $3.974 \times 10^{-6}$ 
D)  $3.974 \times 10^{6}$

Question 6

Find the special product using the appropriate formula
-$(9 x-4)^{2}$

Accepted Answer

A)  $9 x^{2}+16$ 
B)  $81 x^{2}-72 x+16$ 
C)  $9 x^{2}-72 x+16$ 
D)  $81 x^{2}+16$ 
A)  $9 x^{2}+16$ 
B)  $81 x^{2}-72 x+16$ 
C)  $9 x^{2}-72 x+16$ 
D)  $81 x^{2}+16$

Question 7

Factor completely. If the polynomial cannot be factored, write "prime."
-$21 x^{3}-91 x^{2}-70 x$

Accepted Answer

A)  $\left(x^{2}-5\right)(21 x+14)$ 
B)  $7 x(3 x+2)(x-5)$ 
C)  $x(3 x+2)(7 x-35)$ 
D)  $7(3 x-2)(x+5)$ 
A)  $\left(x^{2}-5\right)(21 x+14)$ 
B)  $7 x(3 x+2)(x-5)$ 
C)  $x(3 x+2)(7 x-35)$ 
D)  $7(3 x-2)(x+5)$

Question 8

Divide. Assume all variables are nonzero
-$\frac{12 x^{7} y^{8} z^{5}}{2 x^{4} y z^{5}}$

Accepted Answer

A)  $6 x^{3} y^{7} z$ 
B)  $6 x^{3} y^{7}$ 
C)  $6 x^{3} y^{8}$ 
D)  $10 x^{3} y^{8}$ 
A)  $6 x^{3} y^{7} z$ 
B)  $6 x^{3} y^{7}$ 
C)  $6 x^{3} y^{8}$ 
D)  $10 x^{3} y^{8}$

Question 9

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.)
-$x^{12} \cdot x^{-5}$

Accepted Answer

A)  7 
B)  $\frac{x^{12}}{x^{5}}$ 
C)  $x^{7}$ 
D)  $x^{17}$ 
A)  7 
B)  $\frac{x^{12}}{x^{5}}$ 
C)  $x^{7}$ 
D)  $x^{17}$

Question 10

Rewrite the polynomial in descending order. Identify the leading term, the leading coefficient, and the degree of the polynomial.
-$-x-2 x^{2}-3 x^{3}-4 x^{5}+5$

Accepted Answer

A)  $4 x^{5}, 4,5$ 
B)  $-4 x^{5},-4,5$ 
C)  $-4 x^{5},-4,4$ 
D)  $-\mathrm{x},-1,1$ 
A)  $4 x^{5}, 4,5$ 
B)  $-4 x^{5},-4,5$ 
C)  $-4 x^{5},-4,4$ 
D)  $-\mathrm{x},-1,1$

Question 11

Find the missing factor or exponent(s).
-$x^{7} \cdot ?=x^{15}$

Accepted Answer

A)  $x^{16}$ 
B)  $x^{24}$ 
C)  $x^{8}$ 
D)  $x^{7}$ 
A)  $x^{16}$ 
B)  $x^{24}$ 
C)  $x^{8}$ 
D)  $x^{7}$

Question 12

Find the GCF.
-140,40

Accepted Answer

A)  20 
B)  5 
C)  4 
D)  10 
A)  20 
B)  5 
C)  4 
D)  10

Question 13

Choose the one alternative that best completes the statement or answers thequestion.
-$4^{4} \cdot 4^{5}$

Accepted Answer

A)  $68,719,476,736$ 
B)  262,144 
C)  $1,099,511,627,776$ 
D)  524,288 
A)  $68,719,476,736$ 
B)  262,144 
C)  $1,099,511,627,776$ 
D)  524,288

Factor completely. If the polynomial cannot be factored, write "prime." - $4 x^{2}-49$

Factor completely. If the polynomial cannot be factored, write "prime." - $125 \mathrm{a}^{3}-8 \mathrm{~b}^{3}$

Evaluate the polynomial or polynomial function for the given value of the variable. - $f(x)=6 x^{3}-4 x^{2}+46, f(-2)$

Find the GCF. -104, 208

Convert the given number to scientific notation -0.000003974

Find the special product using the appropriate formula - $(9 x-4)^{2}$

Factor completely. If the polynomial cannot be factored, write "prime." - $21 x^{3}-91 x^{2}-70 x$

Divide. Assume all variables are nonzero - $\frac{12 x^{7} y^{8} z^{5}}{2 x^{4} y z^{5}}$

Simplify the expression. Write the result without using negative exponents. (Assume all variables represent nonzero real numbers.) - $x^{12} \cdot x^{-5}$

Rewrite the polynomial in descending order. Identify the leading term, the leading coefficient, and the degree of the polynomial. - $-x-2 x^{2}-3 x^{3}-4 x^{5}+5$

Find the missing factor or exponent(s). - $x^{7} \cdot ?=x^{15}$

Find the GCF. -140,40

Choose the one alternative that best completes the statement or answers thequestion. - $4^{4} \cdot 4^{5}$

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

Factor completely. If the polynomial cannot be factored, write "prime." - 4x2−494 x^{2}-494x2−49

Factor completely. If the polynomial cannot be factored, write "prime." - 125a3−8 b3125 \mathrm{a}^{3}-8 \mathrm{~b}^{3}125a3−8 b3

Evaluate the polynomial or polynomial function for the given value of the variable. - f(x)=6x3−4x2+46,f(−2)f(x)=6 x^{3}-4 x^{2}+46, f(-2)f(x)=6x3−4x2+46,f(−2)