Question

Factorise by splitting the middle term 3x^2+31x+56 and -2x^2+7x-6

Answer 1

Factorise by splitting the middle term 3x^2+31x+56 and -2x^2+7x-6

1). =3x^2+31x+56
= 3x^2+(24+7)x+56
= 3x^2+24x+7x+56
= 3x(x+8)+7(x+8)
= (x+8) (3x+7)
2). -2x^2+7x-6
multiply by -1 in the expression
= 2x^2-7x+6
= 2x^2-(4+3)x+6
= 2x^2-4x-3x+6
= 2x(x-2) -3(x-2)
= (x-2) (2x-3)

Thankyou friends :-)