colewhitt98 colewhitt98

Today at 10:32 PM
Mathematics

Answered

What is the factorization of the trinomial below?

3x2 + 36x + 81

A. (x + 2)(x + 27)
B. (x + 3)(x + 9)
C. 3(x + 3)(x + 9)
D. 3(x + 2)(x + 9)

Answer :

demariaa01 demariaa01

Today at 10:37 PM

3x²+36x+81
Simplify by 3:
x²+12x+27
(x+3)(x+9)

Answer Link

Yogeshkumari Yogeshkumari

Today at 10:36 PM

Factorization of the given trinomial [tex]3x^{2} +36x+81[/tex] is equals to [tex]3(x+ 3)(x + 9)[/tex].

What is trinomial?

" Trinomial is defined as the polynomial which contains three terms."

According to the question,

Given trinomial ,

[tex]3x^{2} +36x+81[/tex]

Factorize the given trinomial we get,

[tex]3x^{2} +36x+81\\\\=3x^{2} + 27x + 9x + 81\\\\=3x(x +9) + 9(x+ 9)\\\\= (3x +9) (x+ 9)\\\\= 3 (x+3)(x + 9)[/tex]

Hence, Option (C) is the correct answer.

Learn more about trinomial here

https://brainly.com/question/16347049

#SPJ2

Answer Link

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