# The binomials (x-2) and (2x+3) are the factors of which

The binomials $\left(x-2\right)$ and $\left(2x+3\right)$ are the factors of which polynomial?
A. $2{x}^{2}-6$
B. $2{x}^{2}-x-6$
C. $2{x}^{2}+x-6$
D. $2{x}^{2}+7x-6$
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Alara Mccarthy
Step 1 NSL We have to find the polynomial which the binomials $\left(x-2\right)$ and $\left(2x+3\right)$ are the factors.
Then,
The polynomial is
Step 2
$=\left(x-2\right)\left(2x+3\right)$
$=2{x}^{2}+3x-4x-6$
$=2{x}^{2}-x-6$
Hence ,
Polynomial is $2{x}^{2}-x-6$