Question

what is the factor of 2x³+3x²-5x-6 using remainder theorem​

Answer 1

Answer:

2x3+3x2-5x-6

=2x3+2x2+x2+x -6x-6

=2x2(x+1)+x(x+1)-6(x+1)

=(x+1) (2x2+x-6)

=(x+1)(2x2+4x-3x-6)

=(x+1){2x(x+2)-3(x+2)}

=(x+1)(x+2)(2x-3)