Question

The polynomial 3x2 – 10x + 8 has a factor of 3x – 4. What is the other factor of 3x2 – 10x + 8?

Answer 1

3x^2 - 10x + 8
(3x - 4) (x - 2)

Answer 2

(x-2) is the other factor.

Explanation:

IN order to solve this you just need to divide the polynomial by the factor that you are given:

`(3x^2-10x+8)/(3x-4)\\\\3x^2/3x=x\\+8/-4=-2\\`

So by separating the two terms we can find two terms that when mutiplied with the original factor will give as result the polynomial, let´s test that theory:

`(3x-4)(x-2)\\(3x*x)+(3x*-2)+(-4*x)+(-2*-4)\\3x^2-6x-4x+8\\3x^2-10x+8`

As you can see the result of the mutiplication is the sasme polynomial, so the answer is correct, the other factor would be (x-2)