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What are the factors of the quadratic expression 49x2 + 56x + 16?

What are the factors of the quadratic expression 49x2 + 56x + 16?-example-1
User Jon Magnus
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1 Answer

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Given the following expression:


49x^2+56x+16

You can follow the steps shown below in order to factor it:

1. Identify if the leading coefficient is 1. In this case, you can see that this is:


a=49

So it is not 1.

2. Identify if you have a Greatest Common Factor that can be factor out. In this case you don't have it.

3. Notice that the expression has this form:


ax^2+bx+c

Rewrite the expression as following:


=(7x)^2+28x+28x+(4)^2

4. Simplify it by factoring out the common factors:


7x(7x+4)+4(7x+4)

5. Rewriting it in factor form, you get:


(7x+4)(7x+4)=(7x+4)^2

The answer is: Third option.

User PatriceVB
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