Remainder Theorem

The graph of p(x) is shown.

What is the reminder when p(x) is divided by x+4?

• x-4

• -4

• 0

• 4

For the polynomial p(x), if p(3)=0, it can be concluded that ...

• x+3 is a factor of p(x)

• x-3 is a factor of p(x)

• when p(x) is divided by 3, the remainder is zero

• when p(x) is divided by -3, the remainder is zero

• -230

• 0

• 40

• 240

• 0

• 2

• 3

• -3

Evaluate j(−1) given j(x)=2x^4−x^3−35x^2+16x+48. Explain what your answer tells you about x+1 as a factor. Algebraically find the remaining zeros of j(x).

• (x-1) is a factor because P(-1)=2.

• (x+1) is a factor because P(-1)=2.

• (x+1) is a factor because P(1)=0

• (x-1) is a factor because P(1)=0

• g(4)=0

• g(-4)=0

• x-4 is a factor of g(x).

• No conclusion can be made regarding g(x).

• x+2

• x+4

• x-6

• x-7

Use an appropriate procedure to show that x−4 is a factor of the function f(x)=2x^3−5x^2−11x−4. Explain your answer.

• x-2

• x+2

• x-4

• x+4