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Mama L [17]
3 years ago
7

What are the factors of 2x2 + 3x – 54? Check all that apply.

Mathematics
2 answers:
alexira [117]3 years ago
8 0
<span>2x^2 + 3x – 54 = </span>(2x - 9) (x + 6), so A and F
Natali5045456 [20]3 years ago
3 0
ANSWER

The factors are

(2x - 9) \:  \: and \:  \: (x + 6).



EXPLANATION

The given expression is
2 {x}^{2}  + 3x - 54

This is a quadratic trinomial.

We need to factor this by splitting the middle term.


We know that,
a=2, b=3,c=-54


So
ac =  - 108

Two factors of -108 that sums up to 3 is
12 \: and \: 9


We now split the middle term to obtain,


2 {x}^{2}  + 3x - 54 = 2 {x}^{2}  + 12x - 9x - 54



We factor to obtain,

2 {x}^{2}  + 3x - 54 = 2x( x  + 6) -9(  x  + 6)
We factor further to obtain,

2 {x}^{2}  + 3x - 54 = ( x  + 6) (2x-9)


Hence the factors are
(2x - 9) \:  \: and \:  \: (x + 6)


The correct answers are option A and F
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