How do you Factor completely 2x3+5x237x60?

2 Answers
Jul 15, 2018

(x4)(x+5)(2x+3)

Explanation:

Note that x=4 is a solution
243+54237460=128+8014860=0
and

x=5

253+525+37560=250+125+18560=0
so we can

2x3+5x237x60
divide by (x4)(x+5)
and we get 2x+3
so the completely factorization is given by

(x4)(x+5)(2x+3)

Jul 15, 2018

(x4)(x+5)(2x+3)

Explanation:

2x3+5x237x60

=2x38x2+13x252x+15x60

=2x2(x4)+13x(x4)+15(x4)

=(x4)(2x2+13x+15)

=(x4)(2x2+10x+3x+15)

=(x4)((2x(x+5)+3(x+5))

=(x4)(x+5)(2x+3)