Synthetic Division and Factor Theorem

Use synthetic division to determine f(-3), if
f(x)= (3x³ -5x² -4x +1).

• -25

• 25

• 113

• -113

Is (x-4) a factor of (x³ +x² -16x-16)?

• YES

• NO

Is (x-3) a factor of
(x³ - 3x² + 2x + 2)?

• Yes

• No

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9

• 2x² - x + 1

• 2x² - x + 1 + 9/x-2

• 2x² - 9x - 15 - 23/x-2

Find all the factors of   x³ -3x² -4x +12 given that -2 is a zero.

• (x-2) (x+2) (x+3) 

• (x-2) (x-2) (x+3)

• (x+2) (x+2) (x+3)

• (x-2) (x+2) (x-3)

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

• Yes, x-3 is a factor of p(x) since the remainder is 0.

• No, x-3 is not a factor of p(x) since the remainder is 0.

• x-7 is a factor of p(x).

• x+7 is a factor of p(x).

• -7 is a solution of p(x).

• 7 is a solution of p(x).

Which statement accurately describes what this work demonstrates?

• x-5 is a factor of p(x) since 5 was a solution.

• x-5 is not a factor of p(x) since 5 was not a solution.

• x+5 is not a factor of p(x) since 5 was not a solution.

• x+5 is a factor of p(x) since 5 was a solution.