Question

What value in place of the question mark makes the polynomial below a perfect square trinomial ?

X2+22x+?

A.)22
B.)44
C.)11
D.121

Answer 1

Option D is correct.

Explanation:

We have been given
`x^2+22x+?`

We need to tell which one of them will give the perfect square trinomial.

Trinomial is the polynomial with three terms.

`x^2+22x+121`

If we factorize it by middle term splitting we get:

`x^2+11x+11x+121`

`\Rightarrow x(x+11)+11(x+11)`

`\Rightarrow (x+11)(x+11)`

`\Rightarrow (x+11)^2` is the perfect square trinomial.

Therefore, option D is correct

Answer 2

The correct answer option is D. 121.

Explanation:

We are given the following incomplete polynomial and we are to determine whether which of the given value in the options will make it a perfect square trinomial.

From the given options, only one of them is a perfect square which is 121 so let us check if that is true.

`x^(2) +22x+121`

Factorizing it to get:

`x^(2) +11x+11x+121`

`x(x+11)+11(x+11)`

`(x+11)(x+11)`

`(x+11)^2`