Question

For the polynomial below, 2 is a zero.

f(x)=x^3+46x-100

express f(x) as a product of linear factors

Answer 1

Explanation:

`x^3+46x-100=x^3-2x^2+2x^2-4x+50x-100=(x-2)(x^2+2x+50)=\\=(x-2)((x+1)^2+49)= (x-2)(x+(1 - 7 i) ) (x+(1 + 7 i))`