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

User Tanoh
by
7.7k points

2 Answers

1 vote
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)
User Thiago Duarte
by
8.3k points
3 votes

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).

User John Bautista
by
8.2k points

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