Before: February 5, 2018 Factor each polynomial. Check your answer.

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Presentation transcript:

Before: February 5, 2018 Factor each polynomial. Check your answer. -8s4 + 20t3 – 28 6n6 + 18n4 – 24n -5m4 – 5m3 + 5m2

During: Factoring By gcf Objective: Factor polynomials by using the GCF.

Sometimes the GCF of terms is a binomial Sometimes the GCF of terms is a binomial. This GCF is called a common binomial factor. You factor out a common binomial factor the same way you factor out a monomial factor.

“I Do” Factoring out a common binomial factor Factor the expression. 1. 7(x – 3) – 2x(x – 3)

“I Do” Factoring out a common binomial factor Factor the expression. 2. –t(t² + 4) + (t² + 4)

“I Do” Factoring out a common binomial factor Factor the expression. 3. 9x(x + 4) – 5(4 + x)

“I Do” Factoring out a common binomial factor Factor the expression. 4. -3x²(x + 2) + 4(x – 7)

“We Do” Factoring out a common binomial factor Factor the expression. 1. 4s(s + 6) – 5(s + 6)

“We Do” Factoring out a common binomial factor Factor the expression. 2. 7x(2x + 3) + (2x + 3)

“You Do” Factoring out a common binomial factor Factor each expression. 5(x + 2) + 3x(x + 2) -2b(b² + 1) + (b² + 1) 4z(z² - 7) + 9(2z³ + 1)

You may be able to factor a polynomial by grouping You may be able to factor a polynomial by grouping. When a polynomial has four terms, you can make two groups and factor out the GCF from each group.

“I Do” Factoring by grouping Factor the polynomial by grouping. Check your answer. 1. 12a³ - 9a² + 20a - 15

“I Do” Factoring by grouping Factor the polynomial by grouping. Check your answer. 2. 9x³ + 18x² + x + 2

Homework Page 467, #12 – 20 all OMIT #18