Question

Which of the following is the correct answer to (5x2 - 14x + 24) = (x - 4)?

5x-6
5x+6
5x-34+160/x-4
5x+6+48/x-4

Answer 1

The actual answer is D

Explanation:

EDGE2020

Answer 2

5x+6

Explanation:

Given : 5x² - 14x + 24

Since (x - 4) is one of the factors

So, by making the long division:

5x + 6

-------------------------------

x - 4 || 5x² - 14x + 24

5x² - 20x

-------------------------------

+ 6x + 24

+ 6x + 24

---------------------------------

00 + 00

∴
`(5x^2-14x+24)/(x-4) =5x+6`

∴ (5x2 - 14x + 24) = (x - 4) (5x + 6)