Question

Factor completely: 4x2 + 25x + 6

Answer 1

Factors of given equation
`4x^2+25x+6` is
`(x+6)(4x+1)`

Explanation:

Given: equation
`4x^2+25x+6`

We have to factorize the given quadratic equation
`4x^2+25x+6`

We will factorize the quadratic equation using middle term splitting method,

Factorize the coefficient of x in such a way so that the sum or difference of the terms gives the poduct of coefficient of
`x^2` and constant term.

For given equation,

25x can be split as 24x + x

Equation can be written as,

`4x^2+24x+x+6`

taking 4x common from first two terms and 1 common from last two term , we have,

`\Rightarrow 4x(x+6)+1(x+6)`

Taking (x+6) common , we have

`\Rightarrow (x+6)(4x+1)`

Thus, factors of given equation
`4x^2+25x+6` is
`(x+6)(4x+1)`

Answer 2

(x + 6)(4x + 1)
x times 4x = 4x^2
x times 1 = x
6 times 4x = 24x
6 times 1 = 6
Now add like terms and you get 4x^2 + 25x + 6