Question 1

Perform the indicated operation.
-$\left( 7 x ^ { 6 } + 6 x ^ { 8 } - 5 + 2 x ^ { 7 } \right) - \left( 4 + 7 x ^ { 7 } + 9 x ^ { 8 } + 5 x ^ { 6 } \right)$

Accepted Answer

A)  $- 3 x ^ { 8 } - 5 x ^ { 7 } + 2 x ^ { 6 } - 9$ 
B)  $15 x ^ { 8 } + 9 x ^ { 7 } + 12 x ^ { 6 } - 1$ 
C)  $15 x ^ { 8 } + 9 x ^ { 7 } + 12 x ^ { 6 } - 9$ 
D)  $- 3 x ^ { 8 } + 9 x ^ { 7 } + 12 x ^ { 6 } - 1$ 
A)  $- 3 x ^ { 8 } - 5 x ^ { 7 } + 2 x ^ { 6 } - 9$ 
B)  $15 x ^ { 8 } + 9 x ^ { 7 } + 12 x ^ { 6 } - 1$ 
C)  $15 x ^ { 8 } + 9 x ^ { 7 } + 12 x ^ { 6 } - 9$ 
D)  $- 3 x ^ { 8 } + 9 x ^ { 7 } + 12 x ^ { 6 } - 1$

Question 2

Use the quotient rule to simplify the expression.
-$\frac { ( - 9 ) ^ { 21 } } { ( - 9 ) ^ { 19 } }$

Accepted Answer

A)  $\frac { 1 } { - 81 }$ 
B)  81 
C)  $- 81$ 
D)  $\frac { 1 } { 81 }$ 
A)  $\frac { 1 } { - 81 }$ 
B)  81 
C)  $- 81$ 
D)  $\frac { 1 } { 81 }$

Question 3

Simplify the following by combining like terms.
-$- 8 m ^ { 3 } + 5 m ^ { 3 }$

Accepted Answer

A)  $- 9 \mathrm {~m}$ 
B)  $- 3 m ^ { 3 }$ 
C)  $- 3 m ^ { 6 }$ 
D)  cannot be simplified 
A)  $- 9 \mathrm {~m}$ 
B)  $- 3 m ^ { 3 }$ 
C)  $- 3 m ^ { 6 }$ 
D)  cannot be simplified

Question 4

Fill in the blank with one of the words or phrases listed below.

-Monomials, binomials, and trinomials are all examples of .

Accepted Answer

A)  polynomials 
B)  degree of a polynomial 
C)  FOIL 
D)  degree of a term 
A)  polynomials 
B)  degree of a polynomial 
C)  FOIL 
D)  degree of a term

Perform the indicated operation. - $\left( 7 x ^ { 6 } + 6 x ^ { 8 } - 5 + 2 x ^ { 7 } \right) - \left( 4 + 7 x ^ { 7 } + 9 x ^ { 8 } + 5 x ^ { 6 } \right)$

Use the quotient rule to simplify the expression. - $\frac { ( - 9 ) ^ { 21 } } { ( - 9 ) ^ { 19 } }$

Simplify the following by combining like terms. - $- 8 m ^ { 3 } + 5 m ^ { 3 }$

Fill in the blank with one of the words or phrases listed below. -Monomials, binomials, and trinomials are all examples of .

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Filters

Exam 5: Exponents and Polynomials

Perform the indicated operation. - (7x6+6x8−5+2x7)−(4+7x7+9x8+5x6)\left( 7 x ^ { 6 } + 6 x ^ { 8 } - 5 + 2 x ^ { 7 } \right) - \left( 4 + 7 x ^ { 7 } + 9 x ^ { 8 } + 5 x ^ { 6 } \right)(7x6+6x8−5+2x7)−(4+7x7+9x8+5x6)

Use the quotient rule to simplify the expression. - (−9)21(−9)19\frac { ( - 9 ) ^ { 21 } } { ( - 9 ) ^ { 19 } }(−9)19(−9)21​

Simplify the following by combining like terms. - −8m3+5m3- 8 m ^ { 3 } + 5 m ^ { 3 }−8m3+5m3