Dividing and Solving Polynomials

Which binomial is a factor of
f(x)= x³ + x² -24x +36?

• x + 2

• x + 3

• x + 6

• x + 9

If dividing polynomial g(x) by (x – 1) yields a remainder of 2, which must be true?

• g(1) = 2

• g(-1) = 2

• g(2) = 1

• g(2) = -1

What are the three factors for
 (x³ -3x² -4x +12) ÷ (x + 2)?

• (x-2) (x+2) (x+3) 

• (x-2) (x-2) (x+3)

• (x+2) (x+2) (x+3)

• (x-2) (x+2) (x-3)

Write f(x) in factored form if

f(x) / (x+2) = (x³ -3x² -4x +12) ÷ (x + 2)?

• (x-2) (x+2) (x+3)

• (x-2) (x-2) (x+3)

• (x+2) (x+2) (x+3)

• (x-2) (x+2) (x-3)

• 4

• 5

• 2

• 3

Which binomial is a factor of
f(x)= x³ -6x² +3x +10?

• x + 1

• x + 2

• x + 5

• x + 10

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

• -2

• -6

• -12

• 0

Solve the following equation 0 = x³ -3x²-5x+15

• 3, √5

• 3, √5, -√5

• -3, √5, -√5

• -3, 5i, -5i

What are the solutions for the polynomial equation

0 = 3 (x + 4) (x + 1) (x - 3)?

• -4, -1, 3

• 3, -3, 4, 1

• 4, 1, -3

• 3, -4, -1, 3

What is the equation of this graph in factored form?

• (x - 1)(x + 3)²

• (x - 1)²(x + 3)

• (x + 1)²(x - 3)

• (x + 1)(x - 3)²