Question

The factors of x3 - 2x2 - 13x - 10 are​

Answer 1

x^3-2x^2-13x-10

for x=1

x^3-2x^2-13x-10

1^3-2×1^2-13×1-10

1-2-13-10

-1-13-10= -24

it is not factor

for x=-1

-1^3-2(-1)^2-13×-1-10

-1-2+13-10

= 0 , so (x+1) is a factor of polynomial

for x =-2

-2^3-2×(-2)^2-13×-2-10

-8-8+26-10

=0 , so (x+2) is a factor of polynomial

forx=5

5^3-2×5^2-13×5-10

125-50-65-10

125-125=0

so (x-5)is a factor of polynomial