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

Solution:

The perfect square trinomial formula helps in solving the complex trinomial function.

A perfect square trinomial function is the one that is obtained by squaring the binomial expression.

Given, the polynomial has 3 terms.

By using perfect square trinomial method,

The expression given is x² + 12x + 36.

The first and last term of this expression are perfect squares.

Perfect square of x is x².

Perfect square of 6 is 36.

By using formula, (a² + 2ab + b²) = (a + b)²

The above expression can be written as x² + 12x + 36 = (x + 6)²

There are other methods also we can use to factot the given polynomial i.e

1. Using Perfect square method

2. Splitting the middle term method.

Therefore, by the perfect square trinomial method the factor of the expression is (x + 6).

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

Summary:

If a polynomial has three terms, x² + 12x + 36, the perfect square trinomial method can be considered to find the factor of the expression.