is (x-2) a factor of f(x) = x^3 − 2x^2 + 2x + 3, use either remainder theorem or factor theorem to explain your reasoning

Mathematics

1 answer:

kakasveta [241]3 years ago

4 0

Answer:

Step-by-step explanation:

divide the polynomials using polynomial division

___<u>0 + x^2 + 2</u>_____________

x - 2 | x^3 - 2x^2 + 2x + 3

- x^3 + 2x^2

__________

0 + 2x + 3

- 2x + 4

_________

Since there is a remainder, (x-2) cannot be a factor of (x^3 - 2x^2 +2x + 3); because it does not divide evenly.

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