Question

Complete the factorization of 3x^2 – 10x + 8. 3x^2 – 10x + 8 = (x – ___ )( ___ x – 4)

Answer 1

Answer:  The complete factorization of the given expression is $(x-2)(3x-4).$

Step-by-step explanation:  We are given to complete the factorization of the following quadratic expression :

$E=3x^2-10x+8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To factorize the given expression, we need two integers with sum -10 and product 34. Those two integers are -6 and -4.

The factorization of expression (i) is as follows :

$E\\\\=3x^2-10x+8\\\\=3x^2-6x-4x+8\\\\=3x(x-2)-4(x-2)\\\\=(x-2)(3x-4).$

Thus, the complete factorization of the given expression is $(x-2)(3x-4).$

Answer 2

You are looking for

x × ? = 3x^2

and

-4 × ? = 8

The first one is x × 3x = 3x^2

second one is -4 × -2 = 8

So your factored expression is

(x - 2)(3x - 4)