How To Factor Perfect Square Trinomials

For example write x 6x 9 as x 3. Before you can factor a perfect square trinomial you have to learn to recognize it.

Practice Problems Factoring Perfect Square Trinomials Perfect

A perfect square can take on either of two forms.

How to factor perfect square trinomials. A model to keep in mind when factoring perfect square trinomials now we are ready to start factoring perfect square trinomials and the model to remember when factoring perfect square trinomials is the following. Learn how to factor quadratics that have the perfect square form. Ax 2 2 abx b2 ax b 2.

In the case of a perfect square the middle term is the first term multiplied by the last term and then multiplied by 2 2. A2 2 ab b2 which is the product of a b a b or a b 2. The coefficient of the middle term is twice the square root of the last term multiplied by the square root of the coefficient of the first term.

In other words the perfect square trinomial formula is. When we factor a perfect square trinomial we will get. X 5 x 5 x 2 5x 5x 25 x 2 10x 25 and x 2 10x 25 is a perfect square trinomial.

A2 2 ab b2 which is the product of a b a b or a b 2. A 2 pm ab b 2 a2 ab b2. The first term and the last term are perfect squares.

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