Question

What are the factors of 2x2 3x – 54? Select two options. 2x – 9 2x – 6 2x 6 x – 6 x 6.

Answer 1

The factors of expression $2x^{2} +3x-54$ are (x+6) and (2x-9).

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

What is a factor?

A factor is a number that divides another number leaving no remainder.

We can rewrite the given expression as:

$2x^{2} +12x-9x-54$ (middle term has been splitted)

Take 2 as common from first two terms while take -9 as common from last two terms.

$2x(x+6)-9(x+6)$

Take (x+6) as common

$(x+6) (2x-9)$

So, we got the factors (x+6) and (2x-9)

Therefore, The factors of expression $2x^{2} +3x-54$ are (x+6) and (2x-9).

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