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



Aperfect-square trinomial

Bdifference of squares

Csum of cubes

Ddifference of cubes

Verified Answer :

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

The polynomial \(x^{2} +12x+36\) 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 \(x^{2} +12x+36\)

it can be solved as under:

\(x^{2} +12x+36\)

\(x^{2} +6x+6x+36\)

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

(x+6)(x+6)

\((x+6)^{2}\)

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

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