Understanding zeroes and factors of polynomials

If f(2)=0, then which of the following is a factor of f(x)?

• x-2

• x+2

Given the function: f(x)=x³ + 2x² - 5x - 6

Check all the factors listed below.

• (x - 3)

• (x + 1)

• (x + 2)

• (x + 3)

• (x - 2)

What are the three factors for

(x³ +7x² +7x -15)?

• (x-1) (x+5) (x-3)

• (x-1) (x+5) (x + 3)

• (x+1) (x+5) (x-3)

• (x+1) (x-5) (x-3)

Using either the area model or the remainder theorem, is (x+4) a factor of x³+7x²+16x+16?

• A) Yes, because it divides without a remainder

• B) Yes, because if I plug in -4 for x, I get 0 as an answer

• C) No, because 4 is not a factor of 7

• D) No, because polynomials with a degree of 3 don't have factors

• E) A and B

Is the factor a root of the polynomial?

• Yes, remainder is 0.

• No, remainder is not 0.

7. Which expression is a factor of 18x² - 15x + 2 ?

• 3x - 2

• 9x - 1

• x - 2

• 2x - 1

Using the factor theorem, determine whether (x - 1) is a factor of

x³ + x² - x - 1

• (x - 1) is a factor

• (x - 1) is not a factor