Question

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!

Answer 1

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.

Answer 2

`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.