Answer:
(5x − 4)(x + 2)
Step-by-step explanation:
For the purpose, it is sufficient to make sure the middle terms match.
The middle term in the product of each of the answer choices is ...
-1+40 ≠ 6
-8+5 ≠ 6
-4+10 = 6 . . . . . the third selection is the one you want
-2+20 ≠ 6
Answer: The correct option is (C) (5x − 4)(x + 2).
Step-by-step explanation: We are given to determine the factors of the following quadratic expression :
[tex]E=5x^2+6x-8.[/tex]
To factorize the given expression, we need to find two integers whose sum is 6 and whose product is -40.
The factorization is as follows :
[tex]E\\\\=5x^2+6x-8\\\\=5x^2+10x-4x-8\\\\=5x(x+2)-4(x+2)\\\\=(5x-4)(x+2).[/tex]
Thus, the factors of the given expression are (5x - 4) and (x + 2). That is,
[tex]5x^2+6x-8=(5x-4)(x+2).[/tex]
Option (C) is CORRECT.
