Question

Factorise 3x³+x²-38x+24​

Answer 1

Answer:

3x³+x²-38x+24

=3x³-9x²+10x²-30x-8x+24

=3x²(x-3)+10x(x-3)-8(x-3)

=(x-3)(3x²+10x-8)

=(x-3)(3x²-2x+12x-8)

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

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