Question

Factor completely: 4x2 + 25x + 6

Answer 1

Answer:

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

Step-by-step 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