If a polynomial has three terms, x2 + 12x + 36, which factoring method can be considered?



A) perfect-square trinomial

B) difference of squares

C) sum of cubes

D) difference of cubes

Respuesta :

Perfect Square Trinomial. 
(x+6)(x+6)=0 is how to factor.

The polynomial [tex]x^{2} +12x+36[/tex] can be solved by perfect square trinomial.

What is a polynomial?

A polynomial is an expression consisting of indeterminates and coefficient, that involves only the operations of addition, subtraction, multiplication.

How to solve a polynomial?

The given polynomial is [tex]x^{2} +12x+36[/tex]

it can be solved as under:

[tex]x^{2} +12x+36[/tex]

[tex]x^{2} +6x+6x+36[/tex]

x(x+6)+6(x+6)

(x+6)(x+6)

[tex](x+6)^{2}[/tex]

Hence the factoring method which is considered is perfect square trinomial.

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