Advanced Algebra Unit 2B – Polynomials Day 1 – Notes
Name: ______Date: ______
Greatest Common Factor (GCF)
GCF with Variables
¥ With variables, the GCF will always be the ______exponent of a common variable.
¥ Examples: Find the GCF:
Advanced Algebra Unit 2B – Polynomials Day 1 – Notes
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o
o
Advanced Algebra Unit 2B – Polynomials Day 1 – Notes
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o
o
Advanced Algebra Unit 2B – Polynomials Day 1 – Notes
Factoring Polynomials Using GCF
¥ Factoring: Write the polynomial as a product.
Steps:
1. Find the GCF of all its terms.
2. Write the polynomial as a product by factoring out the GCF from all the terms.
- This is done by dividing the original terms of the polynomial by the GCF.
3. The remaining factors in each term will form a polynomial.
Examples:
Advanced Algebra Unit 2B – Polynomials Day 1 – Notes
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o
Advanced Algebra Unit 2B – Polynomials Day 1 – Notes
Practice Problems:
Advanced Algebra Unit 2B – Polynomials Day 1 – Notes
1.
2.
Advanced Algebra Unit 2B – Polynomials Day 1 – Notes
Advanced Algebra Unit 2B – Polynomials Day 1 – Notes
3.
4.
Advanced Algebra Unit 2B – Polynomials Day 1 – Notes
Factoring Trinomials (a=1)
Trinomials
¥ What ______to give you the first term?
¥ What ______to give you the last term, but ______to give you the middle term?
o –c, ______signs
o +c, ______signs
¥ Factored form: ______
¥ Examples: Factor the following trinomials:
Advanced Algebra Unit 2B – Polynomials Day 1 – Notes
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o
o
Advanced Algebra Unit 2B – Polynomials Day 1 – Notes
Practice Problems:
Advanced Algebra Unit 2B – Polynomials Day 1 – Notes
1.
2.
Advanced Algebra Unit 2B – Polynomials Day 1 – Notes
Advanced Algebra Unit 2B – Polynomials Day 1 – Notes
3.
4.
Advanced Algebra Unit 2B – Polynomials Day 1 – Notes
Advanced Algebra Unit 2B – Polynomials Day 1 – Notes
5.
6.
Advanced Algebra Unit 2B – Polynomials Day 1 – Notes