Mathematics: Is (x − 2) a factor of f(x) = x3 − 2x2 + 2x + 3? use either the remainder theorem or the factor theorem to explain your reasoning.

big numbersStep-by-step explanation:woah...

Is (x − 2) a factor of f(x) = x3 − 2x2 + 2x +

Ответ:

eddy2616

12.06.2020

Mathematics

x-2 is not a factor of x^3 - 2x^2+2x+3

Step-by-step explanation:

Given

f(x)=x^3-2x^2+2x+3

In order to check we have to put

x-2 = 0

x=2

We will put x=2 in given expression. If the expression becomes equal to zero that means 2 is a factor of this expression. If the answer is not zero, 2 is not a factor of the given expression.

So putting 2,

$f(2) = (2)^3-2(2)^2+2(2)+3\\= 8 - 2(4)+4+3\\=8-8+4+3\\=4+3\\=7$

As the answer is not equal to zero, x-2 is not a factor of given expression ..

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Is (x − 2) a factor of f(x) = x3 − 2x2 + 2x + 3? use either the remainder theorem or the factor theorem to explain your reasoning.

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