Question

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

Answer 1

Answer:

The correct answer option is D. 121.

Step-by-step 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:

$x^{2} +11x+11x+121$

$x(x+11)+11(x+11)$

$(x+11)(x+11)$

$(x+11)^2$

Answer 2

Answer:

Option D is correct.

Step-by-step 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