Polynomial Factoring Using Synthetic Division

Is the binomial x - 9 a factor of 4x² -33x -27?

• yes

• no

x³-3x²-10x+24 ÷ x+3 (Use synthetic division.)

• x²-7x+5

• x-8

• x²-6x+8

• x+9

Factor:
 f(x) = x³-12x²+47x-60=0 when 5 is a zero. (so f(5) = 0)

• (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

What are the three factors for
 (x³ +7x² +7x -15) ÷ (x -1)?

• (x-1) (x+5) (x-3) 

• (x-1) (x+5) (x + 3) 

• (x+1) (x+5) (x-3) 

• (x+1) (x-5) (x-3) 

• No

• is

• is not

• Yes

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

• Cam wrote the remainder incorrectly.

• Cam did not use a zero place holder for the x³ term.

• Cam added instead of subtracting the rows.

• Cam should have used -2 as his division since the factor was x-2.

Use synthetic division to determine whether the first polynomial is a factor of the second.

• Yes

• is

• No

• is not

Use synthetic division to determine whether the first polynomial is a factor of the second.

• No

• is

• is not

• Yes

Find all the real zeros of the function
f(x) = 2x³ - 19x² + 38x + 24 given that x-4 is a factor.

• x = 1/2, -6

• x = -1/2, 6

• x = 4, -1/2, 6

• x = -4, 1/2, -6