osteoblogda

2021-12-14

Factor the polynomial. $6{x}^{2}+7x-20$

rodclassique4r

Step 1
We have to factorize the polynomial:
$6{x}^{2}+7x-20$
Factorizing the polynomial by middle term splitting method
Here,
$6×\left(-20\right)=-120$
$=15×\left(-8\right)$
For middle term,
15−8=7
Step 2
So using above condition factorizing the given polynomial,
$6{x}^{2}+7x-20=6{x}^{2}+15x-8x-20$
=3x(2x+5)-4(2x+5)
=(2x+5)(3x-4)
Hence, factorized form of the polynomial is (2x+5)(3x−4).

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