Question

Given the following perfect square trinomial, fill in the missing term. (Do not type the variable in the blank.)

4x2 + ___x + 49

Answer 1

a perfect square trinomial has a factor that is identical to the other factor. In this case, from the first term, the factor is composed of 2x while from the third term, there is a term 7 involved. In this case, the factor is 2x + 7. so the second term has to be 2*(2*7) equal to 28 

Answer 2

Answer:

The perfect square trinomial is given by:

                   $4x^2+28x+49$

Step-by-step explanation:

We are given a expression as follows:

              $4x^2+-----x+49$

we know that a perfect square trinomial is of the form:

$(ax)^2+2abx+b^2$

Here we could represent our given expression as:

$4x^2+-----x+49=(2x)^2+-----x+7^2$

i.e.

a=2 , b=7

Hence, we have:

$2ab=2\times 2\times 7\\\\2ab=28$

Hence, the perfect square trinomial is:

                  $4x^2+28x+49$