Question

Find the value of c that makes the expression a perfect square trinomial. Then write the expression as the square of a binomial.

x^2+7x+c

Answer 1

For this case we have the following trinomial:

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To find the value of c that makes the expression a perfect square, we must complete the square.

We have then:

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Rewriting we have:

`x ^ 2 + 7x +(49)/(4)`

Therefore the value of c is given by:

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Then, the expression written as a binomial is:

`image`

Answer:

the value of c that makes the expression to perfect square trinomial is:

`image`

The expression as the square of a binomial is:

`(x + (7)/(2)) ^ 2`

Answer 2

The question ask to calculate the expression as the square of a binomial and also find the value of c that makes the expression a perfect square and the best answer would be that the value of C is 49/4  and its perfect square is (7/2)^2.  I hope you are satisfied with my answer and feel free to ask for more