Determine whether the binomial (3x – 2) is a factor of the polynomial...

Question

Determine whether the binomial (3x – 2) is a factor of the polynomial . Explain.

Note:

Please write neatly and clearly.

Grade 12 Advanced Function.

Answer 1

Hi Faatimah A

(3x-2) is a factor

You can use Synthetic Division to divide (3x -2) into 3x³-14x²+26x-12.

(3x³+14x²+26x-12)÷(3x-2)

(3x-2) does divide into your polynomial with no remainder, so it is a factor

I got

x²-4x+6

Please check my math by giving the division a try

There are other methods and I hope this helps