Review for Quiz on Zeros of Polynomials

is -3 a POSSIBLE zero of $f\left(x\right)=3x^3+2x^2-5x+2$  

• no, 3 is not a factor of 3

• yes

• no, 2 is not a factor of 3

• no, 3 is not a factor of 2

List the ACTUAL rational zeros of

f(x) = x³ + 7x² - 2x -14 ?

• $\pm1,\pm2,\pm7,\pm14$

• 7, 2

• 7

• - 7

List the possible rational zeros of

f(x) = x³ - 4x² -4x + 16

• 1, 2, 4, 8, 16

• $\pm1,\pm2,\pm4,\pm8,\pm16$

• $\pm1,\pm4,\pm\frac{1}{4}$

• -2 and-4

How could you determine    if x-2 is a factor of 2x³-5x²+x-2?

• Use synthetic division and see if the quotient is even
• Ask the person sitting next to me
• Use synthetic division and see if the remainder is zero
• Flip a coin

If a zero of a polynomial function has multiplicity 4 that means:

• The x intercept is at (4, 0)
• The graph will "bounce back" at that zero
• The graph will "pass through" at that zero
• Zeros cannot have multiplicity of 4

Match the graph to the function

• f(x) = -x⁴-x³+5x²-6
• f(x) = x⁴+3x²-3x+1
• f(x) = -x³+2x²-x-6
• f(x) = x⁴+x³+5x²-6

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3
• 2x³ - x² + 3x
• 2x² + 11x + 33 + 108/x+3
• 2x² - 5x + 12

If 𝒙²+𝟑𝒙+𝟕 is divided by  𝒙+𝟐, then what is the remainder?

• 0
• -3
• 9
• 5

Use the Rational Root Theorem to determine the list of possible rational roots.

• A
• B
• C
• D

Which of the following is NOT a possible rational zero for p(x). 

• A
• B
• C
• D