Answer:
4(x +3)(x +4)
Step-by-step explanation:
First of all, recognize that each coefficient is a multiple of 4.
Factoring that out makes it easier to see that you need factors of 12 that add to give 7. Those are not hard to find as being 3 and 4. These numbers go into the binomial factors to give ...
... 4x^2 +28x +48 = 4(x^2 +7x +12) = 4(x +3)(x +4)
Answer:
[tex]4x^2 + 28x +48 = 4(x+4)(x+3)[/tex]
Step-by-step explanation:
We are given the following information in the equation:
[tex]4x^2 + 28x +48[/tex]
We have to factorize the given expression.
We will use the technique of splitting the middle term to factorize.
Factorization can be done in the following manner:
[tex]4x^2 + 28x +48\\\Rightarrow 4(x^2 + 7x + 12)\\\Rightarrow 4(x^2 + 4x + 3x + 12)\\\Rightarrow 4[x(x+4)+3(x+4)]\\\Rightarrow 4(x+3)(x+4)[/tex]
Hence, the given expression can be factorized as:
[tex]4x^2 + 28x +48 = 4(x+4)(x+3)[/tex]
