Factoring Polynomials and Zeros

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

• 3, √5 

• 3, √5, -√5

• -3, √5, -√5

• -3, 5i, -5i

FInd all zeros for the polynomial
f(x) = x⁴+8x²-9

• -1, ⅓, ±3i

• ½, -1, ±3i

• 1, -1, ±i√11

• 1, -1, ±3i

Solve, choose all that apply.

x³ + 2x² + 5x + 10 = 0

• -2

• 2

• -i√5

• i√5

• 0

Find the root(s) of the function.

• x = 3

• x = (-1,2,4)

• x = (2, -2, -4)

• x = -1

Which of the following does not represent a polynomial?

• 4 real zeros; 5 imaginary zeroes

• 1 real zero; 6 imaginary zeroes

• 3 real zeroes; 4 imaginary zeroes

• 8 real zeroes; 2 imaginary zeroes

The polynomial given by: y = 3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹ will have exactly how many zeroes?

• 5

• 2

• 9

• 8

Solve by factoring

x² + 10x = -25

• x = -5

• x = ±5

• x = 5

• x = 0

Factor
x² - 4

• (x-2)²

• (x - 2)(x + 2)

• x(x - 4)

• 2x(x - 2)

Factor completely given (x-4) is a factor. 
x³ - 4x² -4x + 16

• (x+4)(x+2)

• (x-4)(x -2)(x + 2) 

• (x+4)(x² -4)

• (x-4)(x-2)

What are the roots of the following factored polynomial?
(x+1)(x-1)(2x+1)=0

• x= -1/2, -1, 1

• x= 1/2, -1, 1

• x = - ± 1

• x= 1/2, 1