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Andreyy89
2 years ago
5

What is the factorization of the trinomial below 4x2+28x+48

Mathematics
2 answers:
Lisa [10]2 years ago
7 0

Answer:

4x^2 + 28x +48 = 4(x+4)(x+3)

Step-by-step explanation:

We are given the following information in the equation:

4x^2 + 28x +48

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:

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)

Hence, the given expression can be factorized as:

4x^2 + 28x +48 = 4(x+4)(x+3)

belka [17]2 years ago
3 0

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)

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