[tex]2x^{2} + 20 + 48[/tex]Completely factor the given polynomial, if possible. If the polynomial cannot be factored write "not factorable".

Tex2x2 20 48texCompletely Factor The Given Polynomial If Possible If The Polynomial Cannot Be Factored Write Not Factorable class=

Answer :

Given:

The equation is,

[tex]2x^2+20x+48[/tex]

Explanation:

Taking out 2 as common from the expression.

[tex]2x^2+20x+48=2(x^2+10x+24)[/tex]

Factorise the equation by splitting the middle term.

[tex]\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}[/tex]

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