Question

Factor completely.

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

enter your answer in the box.

Answer 1

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}`