Question

Factor 3h2 – 11h - 42

A. (3h – 7)(h + 6)
B. 3(h + 7)(h - 6)
C. (34 – 6)(h + 7)
D. (3h + 7)(h – 6)

Answer 1

The answer is D
3*-42=-126
The factors of -126 that add to -11 are 7 and -18
replace -11h with 7h-18h
3h^2 + 7h - 18h - 42
Factor the first two terms and last two terms
h(3h+7) - 6(3h+7)
See how the two parentheses are the same?
THE ANSWER IS BELOW!!
(h-6)(3h+7)
the first parentheses has the terms that were outside, and the second has the original bracketed terms
This matches option D (it just multiplies the terms backwards, which gives the same result)

Answer 2

The correct answer is option D. (3h + 7)(h – 6)

Explanation:

It is given a quadratic function ,

3h² - 11h - 42

To find the factors of given function

3h² - 11h - 42 = 3h² - 18h + 7h - 42

= 3h(h -6) + 7(h - 6)

=(h - 6)(3h + 7)

= (3h + 7)(h – 6)

The correct answer is option D. (3h + 7)(h – 6)