Review: Factoring Trinomials

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Presentation transcript:

Review: Factoring Trinomials Texas Algebra I Review: Factoring Trinomials

Lesson Objectives The student will be able to: Write a given trinomial as a product of its factors

Trinomials Factor by finding GCF.

Trinomials Factor. factors 56 1 56 2 28 4 14 7 8

Trinomials Factor. Which pair’s sum is middle term? 1 56 2 28 4 14 7 8 factors 56 1 56 2 28 4 14 7 8 Which pair’s sum is middle term?

Trinomials Factor. Which pair’s sum is middle term? 1 56 2 28 4 14 7 8 factors 56 1 56 2 28 4 14 7 8 Which pair’s sum is middle term?

Trinomials Factor. Which pair’s sum is middle term? 1 56 2 28 4 14 7 8 factors 56 1 56 2 28 4 14 7 8 Which pair’s sum is middle term?

Trinomials Factor by grouping.

Trinomials Factor by grouping. Break up center term:

Trinomials Factor by grouping. Group the first pair of terms and last pair.

Trinomials Factor by grouping. Factor out the GCF from the front and back set.

Trinomials Factor by grouping. Notice that the binomial term is the same.

Trinomials Factor by grouping. That means we can factor it out!

Trinomials Factor by grouping. The second set of parenthesis is what’s left.

Trinomials This is a binomial, but we need to mention it here. This is a special case called the difference of squares. “difference” Perfect squares

Trinomials This is a binomial, but we need to mention it here. This is a special case called the difference of squares. “difference” Perfect squares

Trinomials There are also special trinomials that are perfect squares.

Trinomials There are also special trinomials that are perfect squares.

Trinomials There are also special trinomials that are perfect squares.

Trinomials This is also a perfect square. 2 x 5 Perfect squares

Lesson Objectives The student will be able to: Write a given trinomial as a product of its factors