Mathematics: Determine if x2 + 9x + 20 is a perfect square trinomial and factor. a. (x+5)(x+5) b. (x+2)(x+2) c. (x-4)(x-4) d. not a perfect square trinomial.

Determine if x2 + 9x + 20 is a perfect square trinomial

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isabelgalvarado2838

15.03.2022

It's not a perfect-square trinomial.

A perfect-square trinomial is of the form $a^2 \pm 2ab+b^2=(a+b)^{2}$ .

If that looks confusing, just realize that the first and third terms need to be perfect squares (e.g., 16, because it is the square of 4, or 81, because it is the square of 9), and the middle term needs to be twice the product of a and b.

So $x^{2}$ is a perfect square equal to x times x. Is 20 a perfect square? Can you think of an integer whose square is 20? No, so 20 is not a perfect square. We are done.

The correct answer is D.

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Ответ:

haleylecompte

11.04.2021

Mathematics

not sure can i have more details

step-by-step explanation:

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Determine if x2 + 9x + 20 is a perfect square trinomial and factor. a. (x+5)(x+5) b. (x+2)(x+2) c. (x-4)(x-4) d. not a perfect square trinomial.

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