Question

find the product of : (1-4x) (1+x+x^2)

Answer 1

$\large\mathsf\red{(1 - 4x) (1 + x + x^2)}$

$\mathsf{= \ 1 (1 + x + x^2) - 4x (1 + x + x^2)}$

$\mathsf{= \ 1 + x + x^2 - 4x - 4x^2 - 4x^3}$

$\large\mathsf\red{Combine \ Like \ Terms}$

$\mathsf\blue{= \ 1 - 3x - 3x^2 - 4x^3}$

Answer 2

(1-4x) (1+x+x²)
1+x+x²-4x-4x²-4x^3
4x^3+3x²+3x+1
-1 is the factor of this equation