Assignment: [tex]\bold{Factor \ Equation: \ 20x^4+8x^3+40x^2}[/tex]
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Answer: [tex]\boxed{\bold{4x^2\left(5x^2+2x+10\right)}}[/tex]
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Explanation: [tex]\downarrow\downarrow\downarrow[/tex]
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[ Step One ] Apply Exponent Rule
Note: [tex]\bold{Exponent \ Rule: \ a^{b+c}=a^ba^c}[/tex]
[tex]\bold{x^3=xx^2}[/tex]
[tex]\bold{x^4=x^2x^2}[/tex]
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[tex]\bold{20x^2x^2+8xx^2+40x^2}[/tex]
[ Step Two ] Rewrite Terms
[tex]\bold{Rewrite \ 40 \ As \ 4\cdot \:10}[/tex]
[tex]\bold{Rewrite \ 8 \ As \ 4\cdot \:2}[/tex]
[tex]\bold{Rewrite \ 20 \ As \ 4\cdot \:5}[/tex]
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[tex]\bold{4\cdot \:5x^2x^2+4\cdot \:2xx^2+4\cdot \:10x^2}[/tex]
[ Step Three ] [tex]\bold{Factor \ Out \ Common \ Term \ 4x^2}[/tex]
[tex]\bold{4x^2\left(5x^2+2x+10\right)}[/tex]
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[tex]\bold{\rightarrow Mordancy \leftarrow}[/tex]
