Factor the polynomial. 6x2+7x−20

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