Question

Using Factor Theorem, factorize The Following Polynomials x³-2x²-5x+6

Answer 1

Answer:

hi

Step-by-step explanation:

x³-2x²-5x+6

x-1=0

x=1

then,

=1-2-5+6

=-1+1

=0

So,

= x³-2x²-5x+6

=x³- x²- x² + x - 6x + 6

=x²(x-1)-x(x-1)-6(x-1)

=(x²-x-6)(x-1)

={x²-(3-2)x-6}(x-1)

=(x²-3x+2x-6)(x-1)

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

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

Hope its help you.............