Polynomial Theorems

Is (x-3) a factor of

(x³ - 3x² + 2x + 2)?

• Yes

• No

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

• YES

• NO

Is (x-7) a factor of (x²-5x+14)?

• Yes
• No

If 𝒙²−𝟓 is divided by 𝒙−𝟐, then what is the remainder?

If 𝟐x²+𝟏𝟎 is divided by 𝒙−𝟏, then what is the remainder?

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

Use synthetic division to determine f(-3), if

f(x)= (3x³ -5x² -4x +1).

if f(x) = 3x² -9x -20, find the value of f(5) using synthetic division.

Find all the zeros, given that f(-3) = 0

f(x) = 2x³+5x²-6x-9

• -3, 1, 3/2

• -3, -1, 3/2

• -3, 1, 2/3

• -3,-1, 2/3

Find all the real zeros of the function

f(x) = 2x³ - 19x² + 38x + 24 given that x-4 is a factor.

• x = 4, -1/2, -6

• x = 4, -3, 2

• x = 4, -1/2, 6

• x = 4, 1/2, -6