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Given the following perfect square trinomial, fill in the missing term. (Do not type the variable in the blank.) 4x2 + ___x + 49 Numerical Answers Expected!

2 Answers

4 votes
4x^2+28x+49

4x^2+14x+14x+49

2x(2x)+2x(7)+7(2x)+7(7)

2x(2x+7)+7(2x+7)

(2x+7)(2x+7)

(2x+7)^2

The missing term is 28.
User Leem
by
7.8k points
1 vote

Answer:


4x^2+28x+49

Explanation:

We have been given a perfect square trinomial
4x^2+...x+49. We are asked to fill in the missing blank.

We know that a perfect square trinomial is in form
a^2+2ab+b^2.

We can rewrite terms of our given expression as:


2^2x^2+...x+7^2


(2x)^2+...x+7^2

We can see that the value of a is 2x and value of b is 7, so
2ab will be:


2ab=2(2x)(7)=28x

Since we are asked to give numerical answer, so the missing value is 28 for our given perfect square trinomial.

User Kamil Kisiel
by
8.1k points
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