Is it possible to factor $y = x^{5} + 2 x^{4} + x^{3}$ $y=x^5+2x^4+x^3$ ? If so, what are the factors?

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Is it possible to factor $y = x^{5} + 2 x^{4} + x^{3}$ $y=x^5+2x^4+x^3$ ? If so, what are the factors?

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Answer 1 · 2015-12-24T13:16:54

Yes. Factors are $x$ $x$ and $(x + 1)$ $(x+1)$

Explanation:

First extract the common factor of $x^{3}$ $x^3$
$y = x^{3} (x^{2} + 2 x + 1)$ $y = x^3(x^2 +2x +1)$
Then use the fact that $(x + a) (x + b)$ $(x+a)(x+b)$ gives $(x^{2} + (a + b) x + a b)$ $(x^2 +(a +b)x + ab)$ to find the values of a and b.
$y = x^{3} {(x + 1)}^{2}$ $y = x^3(x+1)^2$

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Is it possible to factor $y = x^{5} + 2 x^{4} + x^{3}$ $y=x^5+2x^4+x^3$ ? If so, what are the factors?

1 Answer

Explanation:

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Is it possible to factor y=x5+2x4+x3y=x^5+2x^4+x^3 ? If so, what are the factors?

1 Answer

Explanation:

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Is it possible to factor $y = x^{5} + 2 x^{4} + x^{3}$ $y=x^5+2x^4+x^3$ ? If so, what are the factors?