Question

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

Answer 1

The other factor is (x - 2)

Explanation:

One quick way to solve this is to factor the polynomial and see what you get:

3x² – 10x + 8

= 3x² - 6x - 4x + 8

= 3x(x - 2) - 4(x - 2)

= (3x - 4)(x - 2)

You can also solve this using long division:

`\ \ \ \ \ \ \ \ \ \ \underline{x - 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ } \\3x - 4\ )3x^(2) - 10x + 8\\.\ \ \ \ \ \ \ \ \ \ \underline{3x^2 - 4x}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -6x + 8\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{-6x + 8}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0R`