Question

Write the polynomial in factored form x^3-2x^2-35x=

Answer 1

Answer:

x=6, x=−5 or x=9

Explanation:

f(x)=(x−6)(x+5)(x−9)

If all of the linear factors are non-zero, then so is their product f(x).

If any of the linear factors is zero, then so is their product f(x).

So the zeros of f(x) are precisely the values of x which make at least one of the linear factors 0, namely: 6, −5 or 9.