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

Explanation:

Given is a perfect square trianomial.

The middle term is missing

The first term is
`4x^2` and the third term is 49

We find that

first term is square of 2x and last term is square of 7

Hence middle term has to be 2ab = 2(2x)(7)

=28x

SO middle term is 28x

Missing value = 28x

Verify:

`4x^2+28x+49=(2x)^2+2(2x)(7)+7^2\\=(2x+7)^2`

= a perfect square

Answer 2

Here is your answer:

4x² + 28x + 49

4x² + 14x + 14x + 49

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

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

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

(2x + 7)²

= 28

Hope this helps!