osteoblogda

2021-12-14

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

rodclassique4r

Beginner2021-12-15Added 37 answers

Step 1

We have to factorize the polynomial:

$6{x}^{2}+7x-20$

Factorizing the polynomial by middle term splitting method

Here,

$6\times (-20)=-120$

$=15\times (-8)$

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).

We have to factorize the polynomial:

Factorizing the polynomial by middle term splitting method

Here,

For middle term,

15−8=7

Step 2

So using above condition factorizing the given polynomial,

=3x(2x+5)-4(2x+5)

=(2x+5)(3x-4)

Hence, factorized form of the polynomial is (2x+5)(3x−4).