[tex]2(x^2+12x+18)=0[/tex] is the factored form of given quadratic equation
Solution:
Given that we have to express the quadratic equation in factored form
A factored form is a parenthesized algebraic expression
The factored form of a equation means it is written as a product of its factors.
[tex]4x^2+25x+28=2x^2+x-8[/tex]
Put all terms on one side of the equal sign, leaving zero on the other side.
[tex]4x^2+25x+28-2x^2-x+8=0[/tex]
Combine the like terms to get a standard quadratic equation
[tex]2x^2+24x+36=0[/tex]
Factor out 2 from above equation
[tex]2(x^2+12x+18)=0[/tex]
Thus the factored form is found out
