Lorraine Harvey

2022-01-14

Use the grouping method to factor the polynomial in the box completely. Use the caret symbol ( ^ ) to write exponets; for example enter ${x}^{2}$ as ${x}^{2}$. Write each factor as a polynomial in descending order. $6{x}^{5}+36{x}^{2}+24x$

Vivian Soares

Step 1
We have to factor this
Step 2
$6{x}^{5}+36{x}^{2}+24x$
$=6x\left({x}^{4}+6x+4\right)$
hence $6{x}^{5}+36{x}^{2}+24x=6x\left({x}^{4}+6x+4\right)$
Also, $6x\left({x}^{4}+6x+4\right)=6{x}^{1}\left({x}^{4}+6{x}^{1}+4\right)$

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