When the polynomial P(x) = 3x3 − 2x2 + kx − 12 is divided by x − 3, the remainder is 0. Which of the following is also a factor of P(x)?

3x − 4
x + 1
x − 4
3x + 1

Question

When the polynomial P(x) = 3x3 − 2x2 + kx − 12 is divided by x − 3, the remainder is 0. Which of the following is also a factor of P(x)?

 3x − 4
 x + 1
 x − 4
 3x + 1

john_es · Answer

You can use the remainder theorem to find k and then use it again with one of the solutions. Do you know the remainder theorem?

mightychondrion · Answer

Do you know how to do long division with polynomials? I solved it but am not sure you'd follow the solution.

mightychondrion · Answer

The answer is B

mightychondrion · Answer

It's called synthetic division, they taught it in Math HL I'm not sure if many others can follow this