Chapter 4 Quiz Review

Simplify the expression.

 $\left(-3a^4+3+8a^2\right)-\left(13a^4-7a-2a^2\right)$  

•  $\left(-16a^4+5a^2+18a+3\right)$  

•  $-16a^4+7a+3$  

•  $-16a^4+10a^2+7a+3$  

•  $-16a^4+18a+3$  

Simplify the expression.

 $\left(6p+4p^5+11p^3\right)+\left(-4p^2-p^5+4p\right)$  

•  $3p^5+11p^3-21p^2+10p$  

•  $3p^5+11p^3-4p^2+10p$  

•  $3p^5+11p^3-18p^2+10p$  

•  $3p^5+11p^3-16p^2+10p$  

The the product.

 $5n\left(7n^2-5n+4\right)$  

•  $36n^3+36n^2-36n$  

•  $24n^2-12n+42$  

•  $9n^2+18n-15$  

•  $35n^3-25n^2+20n$  

Find the product.

 $\left(-2r+5\right)\left(-8r+5\right)$  

•  $16r^2-50r+25$  

•  $16r^2+25$  

•  $16r^2-30r-25$  

•  $16r^2+30r-25$  

2x³ - 5x² + 3x + 7 ÷ x - 2

• 2x³ - x² + x + 9

• 2x² - x + 1

• 2x² - x + 1 + 9/(x - 2)

• 2x² - 9x - 15 - 23/(x - 2)

• The function has an Even degree
• The function has a Negative coefficient
• The function has an Odd degree
• The function has 3 real zeros

• Positive Odd
• Positive Even
• Negative Odd
• Negative Even

What is the end-behavior of the function 
y = x⁶ - 7x⁵ + 7x - 9

• as x-> -∞  f(x) -> ∞
   as x-> ∞  f(x) -> -∞
• as x-> -∞ f(x) -> ∞
   as x-> ∞  f(x) -> ∞
• as x->-∞ f(x) -> -∞
   as x-> ∞   f(x) -> ∞
• as x-> -∞ f(x) -> -∞
   as x-> ∞ f(x) -> -∞

Factor the polynomial. 
x²-4x-32

• (x-8)(x+4)
• (x-4)(x-32)
• (x+3)(x-4)
• x+2)(x+5)

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime