221k views
5 votes
Factor completely.

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

enter your answer in the box.

User Intractve
by
6.8k points

1 Answer

2 votes

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

<><><><><><><>

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

<><><><><><><>

Explanation:
\downarrow\downarrow\downarrow

<><><><><><><>

[ 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}

<><><><><><><>


\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}

<><><><><><><>


\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)}

<><><><><><><>


\bold{\rightarrow Mordancy \leftarrow}

User Rgm
by
6.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.