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NikAS [45]
3 years ago
14

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:

no

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

                             _________

                                             7

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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castortr0y [4]
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To solve this, because y is equal to 2x+5, you can substitute 2x+5 into the bottom equation for y.

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This can be solved like a normal equation. Multiply each term in the parenthesis by -1.

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Subtract 2x from 3x

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Add 5 to both sides

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Now you can solve for y by plugging -1 in for x in either equation. Im going to use the top one.

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1. Find a if x³ + ax² - x -8 is divisible by x -1​
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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