Question

Express the quadratic in factored form for 4x2 + 25x + 28 = 2x2 + x – 8

Answer 1

`2(x^2+12x+18)=0` 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.

`4x^2+25x+28=2x^2+x-8`

Put all terms on one side of the equal sign, leaving zero on the other side.

`4x^2+25x+28-2x^2-x+8=0`

Combine the like terms to get a standard quadratic equation

`2x^2+24x+36=0`

Factor out 2 from above equation

`2(x^2+12x+18)=0`

Thus the factored form is found out