Is x-2 a factor of 2x3+x2-3

Question

Mathematics

Enzo Good

23 March, 15:53

Is x-2 a factor of 2x3+x2-3

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Answers (2)

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Blaze Atkinson · Answer 1

Blaze Atkinson 23 March, 18:25

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No the factor of 2x3+x2-3 is 3+2x

Daniels · Answer 2

No ... if it was 2x^3+x^2-3 would equal zero when x=2. You could divide and demonstrate for yourself that the division would have a remainder ...

2x^3+x^2-3 / x-2

2x^2 rem 5x^2-3

5x rem 10x-3

10 rem 17 so if we factor out (x-2) we have:

(x-2) (2x^2+5x+10) + 17 / (x-2)

We have the remainder 17 / (x-2), if (x-2) was a factor the remainder would equal zero.