Question

What is the factorization of the polynomial below?

3x2 + 36x + 81

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

Answer 1

has to be D

Explanation:
3x²+36x+81
3(x²+12x+27)
3(x²+3x+9x+27)
3{x(x+3)+9(x+3)}
3(x+3)(x+9)

Answer 2

Polynomial is an expression that consists of indeterminates(variable) and coefficients. The factorization of the given polynomial 3x²+36x+81 can be done as 3(x+3)(x+9).

What are polynomials?

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

The factorization of the given polynomial can be done as,

3x²+36x+81

= 3x² + 27x + 9x + 81

= 3x(x+9) + 9(x+9)

= (3x+9)(x+9)

= 3(x+3)(x+9)

Hence, the factorization of the given polynomial 3x²+36x+81 can be done as 3(x+3)(x+9).

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