Question

`2x^(2) + 20 + 48`Completely factor the given polynomial, if possible. If the polynomial cannot be factored write "not factorable".

Answer 1

Given:

The equation is,

`2x^2+20x+48`

Step-by-step explanation:

Taking out 2 as common from the expression.

`2x^2+20x+48=2(x^2+10x+24)`

Factorise the equation by splitting the middle term.

`\begin{gathered} 2(x^2+10x+24)=2(x^2+6x+4x+24) \\ =2\lbrack x(x+6)+4(x+6)\rbrack \\ =2(x+4)(x+6) \end{gathered}`

So answer is 2(x + 4)(x + 6)