Question

Three is a zero of the equation x3−4x2−3x+18=0. which factored form is equivalent to the equation?

Answer 1

Three is zero of the equation, so,
↪f(3)=0
Here,
↪x³-4x²-3x+18=0
↪ x³-4x²+3x-6x+18=0
↪ x³-3x²-x²+3x-6x+18=0
↪ x²(x-3)-x(x-3)-6(x-3)=0
↪(x-3)(x²-x-6)=0
↪f(3)=(x-3)(x²-x-6)➡equivalent factored form

Answer 2

(x+2)(x−3)2=0

Explanation:

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