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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

What value in place of the question mark makes the polynomial below a perfect square trinomial X222x A22 B44 C11 D121 class=

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Answer:

Option D is correct.

Step-by-step explanation:

We have been given [tex]x^2+22x+?[/tex]

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

Trinomial is the polynomial with three terms.

[tex]x^2+22x+121[/tex]

If we factorize it by middle term splitting we get:

[tex]x^2+11x+11x+121[/tex]

[tex]\Rightarrow x(x+11)+11(x+11)[/tex]

[tex]\Rightarrow (x+11)(x+11)[/tex]

[tex]\Rightarrow (x+11)^2[/tex]  is the perfect square trinomial.

Therefore, option D is correct

alinakincsem

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.

[tex]x^{2} +22x+121[/tex]

Factorizing it to get:

[tex]x^{2} +11x+11x+121[/tex]

[tex]x(x+11)+11(x+11)[/tex]

[tex](x+11)(x+11)[/tex]

[tex](x+11)^2[/tex]

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