Question

Complete the factorization of 3x2 – 10x + 8. 3x2 – 10x + 8 = (x – )( x – 4)

Answer 1

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

Answer 2

We shall use the method of splitting the middle term

To factorize

3x² - 10 x + 8

We need two numbers which add to give -10 and multiply to give 3 × 8 = 24

The numbers are -6 & -4

(-6)+(-4) = -10

(-6)(-4) = 24

So we shall split -10x as -6x - 4x

We get

3x² -10x + 8

= 3x² -6x -4x+8

Taking out 3x common from first two terms & -4 from the lest two terms we get

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

Taking out (x-2) common we get

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

So

3x² - 10x + 8 = (x-2)(3x-4)