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tatuchka [14]
3 years ago
10

Factor completely: 4x2 + 25x + 6

Mathematics
2 answers:
garik1379 [7]3 years ago
7 0

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)

steposvetlana [31]3 years ago
4 0
<span>(x + 6)(4x + 1) </span>
<span>x times 4x = 4x^2 </span>
<span>x times 1 = x </span>
<span>6 times 4x = 24x </span>
<span>6 times 1 = 6 </span>
<span>Now add like terms and you get 4x^2 + 25x + 6 </span>
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