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Find the value of n so that the expression is a perfect square trinomial and then factor the trinomial.
x2 + 20x + n
Group of answer choices

n = 100; (x + 10)2
n = 100; (x - 10)2
n = 100; (x + 10)(x - 10)
n = 400; (x + 20)2

Respuesta :

MrRoyal

The correct expression is (a) n = 100; (x + 10)^2

How to determine the value of n?

The expression is given as:

x^2 + 20x + n

Take the coefficient of x

k = 20

Divide by 2

k/2= 10

Square both sides

(k/2)^2 = 100

The above value represents the value of n

i.e.

n = 100

So, we have:

x^2 + 20x + 100

Expand

x^2 + 10x + 10x + 100

Factorize

x(x + 10) + 10(x + 10)

Factor out x + 10

(x + 10)^2

Hence, the correct expression is (a) n = 100; (x + 10)^2

Read more about trinomial at:

https://brainly.com/question/1538726

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