Module 4 Review Polynomials

(m³-7m²-24m-62)÷(m-10)

• m²+3m+6, R 2

• m²+3m+4, R -4

• m²+3m+6, R -2

• m²+3m+3, R 1

Tags

CCSS.HSA.APR.D.6

(27x³ + 9x² - 3x - 10) ÷ (3x - 2)

• 9x⁴+5

• 9x²+9x+5

• 9x²-9x+5

• 9x²-9x

Tags

CCSS.HSA.APR.D.6

What is the remainder when a³ - 4 is divided by a+2? 

• -2
• -6
• -12
• 0

Tags

CCSS.HSA.APR.B.2

Find all zeros of the polynomial function P(x) = x³+6x²+9x+54

• 6, 3, -3
• -6, 3, -3
• -6, 3i, -3i
• 6, 3i, -3i

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4

• 4
• 7
• 2
• 11

What can we expect the end behavior to be on the graph of the function: $f\left(x\right)=-7x^5+4x^4+5x^3-2x^2+9$  

• Rises on the left and right

• Rises on left, falls on right

• Falls on the left, rises on the right

• Falls on the left and right

Tags

CCSS.HSF.IF.C.7

The Rational Zeros Theorem states  $\frac{p}{q}$   is a rational zero of  $f\left(x\right)$   if  $p$   is a factor of the constant term and  $q$  is a factor of the leading coefficient . 

Is -3 a possible rational zero for the polynomial  $f\left(x\right)$ ?

  $f\left(x\right)=3x^3+2x^2-5x+2$  


Why or why not?

• Yes, because 3 is a factor of p, the constant term of the polynomial. 

• Yes, because 3 is a factor of q, the leading coefficient.

• No, because 3 is not a factor of q, the constant term of the polynomial. 

• No, because 3 is not a factor of p, the constant term of the polynomial. 

 $f\left(x\right)=4x^4-3x^3+2x^2-x+99$  

Use Descartes Rule of Signs to determine the possible number of positive and negative roots.

• 3 or 1 positive roots and 0 negative roots

• 4, 2, or 0 positive roots and 1 negative root

• 4, 2, or 0 positive roots and 0 negative roots

• What?

Use the Complex Conjugate Root Theorem to state another complex solution. Given that 3+5i is a root. 

• -3+5i
• -3-5i
• -5i
• 3-5i

Tags

CCSS.HSN.CN.A.3

Find all zeros for the polynomial function given one of the factors of the function is (x+3).

 $f\left(x\right)=2x^3+5x^2-6x-9$  

•  $x=-3,-1$  

•  $x=-3,\ -1,\ \frac{3}{2}$  

•  $x=1,\ 3$  

•  $x=\ \frac{-3}{2},\ 1,\ 3,\$  

Tags

CCSS.HSF-IF.C.7C