Question

factorise 5x2-29x+42

Answer 1

For a polynomial of the form ax2+bx+cax2+bx+c, rewrite the middle termas a sum of two terms whose productis a⋅c=5⋅−42=−210a⋅c=5⋅-42=-210 and whose sum is b=29b=29.

5x2−6x+35x−425x2-6x+35x-42

Factor out the greatest common factor from each group.

x(5x−6)+7(5x−6)x(5x-6)+7(5x-6)

Factor the polynomial by factoring out the greatest common factor, 5x−65x-6.

(5x−6)(x+7)