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4 votes
Factor completely. 20x4+8x3+40x2

User Tengiz
by
7.8k points

1 Answer

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ANSWER


4{x}^(2) ( 5{x}^(2) + 2x + 10)


Step-by-step explanation

We want to factorize completely,


20 {x}^(4) + 8 {x}^(3) + 40 {x}^(2)

We take the highest common factor to obtain,


4{x}^(2) ( 5{x}^(2) + 2x + 10)
Now we need to factorize the quadratic trinomial in the parenthesis.

But there are no two factors of

50
that will add up to

2
Hence the completely factored form of given polynomial is


4{x}^(2) ( 5{x}^(2) + 2x + 10)
User Randy Stauner
by
8.4k points

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