Please tell the answer(-10)×(-2)+(-10)=3

1.	Please tell the answer(-10)×(-2)+(-10)=3
Answer» $\huge{\underline{\pmb{\pink{Answer}}}}$ Let f(x)=x 3 +10x 2 −37x+26 Putting x=1, we GET f(1)=1+10−37+26=0 ∴ By FACTOR theorem, x−1 is factor of f(x). On dividing x 3 +10x 2 −37x+26 by x−1, we get x 2 +11x−26 as the quotient and remainder =0. ∴ The other factor of f(x) are the factor of x 2 +11x−26 Now, x 2 +11x−26 =x 2 +13x−2x−26 =x(x+13)−2(x+13) =(x+13)(x−2) Hence, x 3 +10x 2 −37x+26=(x−1)(x−2)(x+13)

Answer»

$\huge{\underline{\pmb{\pink{Answer}}}}$ Let f(x)=x

+10x

−37x+26

Putting x=1, we GET

f(1)=1+10−37+26=0

∴ By FACTOR theorem, x−1 is factor of f(x).

On dividing x

+10x

−37x+26 by x−1, we get x

+11x−26 as the quotient and remainder =0.

∴ The other factor of f(x) are the factor of x

+11x−26

Now, x

+11x−26

+13x−2x−26

=x(x+13)−2(x+13)

=(x+13)(x−2)

Hence, x

+10x

−37x+26=(x−1)(x−2)(x+13)

Discussion