Polynomial Functions and Number of Real Zeros

What is the end behavior as x → -∞ f(x)→ ?

• -∞

• ∞

Give the equation of the 4th degree polynomial with zeros: 1 with multiplicity 2 and i. 

• x² - 4x + 4

• x³ - 4x² + 4x +ix² -4ix + 4i

• x⁴ - 4x³ + 5x²-4x + 4

• x⁴ - 4x³ + 5x²-4x + 4i

Based on the end behavior of the polynomial, what is the degree of the polynomial?

• a negative real number

• a positive real number

• an odd real number

• an even real number

Factor  4v² − 4v − 8 

• 4(v + 1)(v − 2) 

• (v− 10)(v − 5) 

• 4(v-1)(v-2)

• None of the Above

How many real zeros does the polynomial function
P(x) = x³+2x²+9x+18 have?

• 0

• 1

• 2

• 3

f(x) = x³ - 9x² - 45x - 27 Find the remaining zeros given that -3 is a zero of f(x).

• {-3, -6 ± 3√5}

• {-3, 6 ± 3√5}

• (-3, 3, 9}

• {-3, 0, 3}

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 

• √5, -√5

• -3, √5, -√5

• -3, 5i, -5i

Find all zeros for the polynomial function P(x)= x³-3x²+12x-10

• 1, 1-3i, 1+3i

• 1, 1+3i, -1-3i

• -1, -1+3i, -1-3i

• -1, -5, 2

Factor:
 x³-12x²+47x-60=0 when 5 is a root.

• (x-3)(x-4)(x-5)=0

• (x+1)(x-4)(x-5)=0

• (x-3)(x-4)(2x-5)=0

• (x-5)(x-4)(x-5)=0

f(x) = 2x³ - 3x² + 4x -10
State the maximum number of turns the graph of f(x) could make.

• 3

• 2

• 1

• 0