Remainder Theorem

The graph of p(x) is shown.

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

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

If $$p\left(x\right)=2x^3-3x+5$$  , what is the remainder of p(x) $$\div$$  (x-5)?

If x-1 is a factor of $$x^{3\ }-kx+2x$$  , what is the value of k?

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).

Given $$P\left(x\right)=x^{3\ }-3x^2-2x+4$$  , which statement is true?

When g(x) is divided by x+4, the remainder is 0. Given $$g\left(x\right)=x^4+3x^3-6x^2-6x+8$$  , which conclusion about g(x) is true?

Which binomial is not a factor of the expression $$x^{3\ }−11x^{2\ }+16x+84$$  ?

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.

Which binomial is a factor of $$x^4\ −4x^2−4x+8$$  ?