Question

Factor completely. 20x4+8x3+40x2

Answer 1

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)`