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Factor completely.

20x^4 + 8x^3 + 40x^2

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User Intractve
by
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1 Answer

2 votes

Assignment:
\bold{Factor \ Equation: \ 20x^4+8x^3+40x^2}

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Answer:
\boxed{\bold{4x^2\left(5x^2+2x+10\right)}}

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Explanation:
\downarrow\downarrow\downarrow

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[ Step One ] Apply Exponent Rule

Note:
\bold{Exponent \ Rule: \ a^(b+c)=a^ba^c}


\bold{x^3=xx^2}


\bold{x^4=x^2x^2}

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\bold{20x^2x^2+8xx^2+40x^2}

[ Step Two ] Rewrite Terms


\bold{Rewrite \ 40 \ As \ 4\cdot \:10}


\bold{Rewrite \ 8 \ As \ 4\cdot \:2}


\bold{Rewrite \ 20 \ As \ 4\cdot \:5}

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\bold{4\cdot \:5x^2x^2+4\cdot \:2xx^2+4\cdot \:10x^2}

[ Step Three ]
\bold{Factor \ Out \ Common \ Term \ 4x^2}


\bold{4x^2\left(5x^2+2x+10\right)}

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\bold{\rightarrow Mordancy \leftarrow}

User Rgm
by
8.3k points

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