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Day 5 Notes: Factoring Out A GCF, Exercises of Algebra

Steps to Factoring Out the GCF of Polynomials. 1. Find the Greatest Common Factor of the polynomial. 2. Divide by the GCF. • Simplify coefficients. • Subtract ...

Typology: Exercises

2021/2022

Uploaded on 09/27/2022

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FND Algebra 1B
Students are not required to complete all the problems within this lesson. They
should spend 45 minutes on this lesson.
E Learning Day 3
For today’s E learning day you will be focusing on Factoring Using Greatest Common Factors. Follow the
steps below for the day.
Read through the guided notes.
Complete the practice problems at the end of the lesson that go along with the notes.
Name: ___________________________________
Factoring Using Greatest Common Factor
Steps to Factoring Out the GCF of Polynomials
1. Find the Greatest Common Factor of the polynomial.
2. Divide by the GCF.
Simplify coefficients
Subtract exponents.
** Use this method when the leading coefficient is NOT 1.
1) 3x + 15 2) 12x +20
3) 4𝑥𝑥32𝑥𝑥26𝑥𝑥 4) 9𝑥𝑥36𝑥𝑥215𝑥𝑥
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FND Algebra 1B

Students are not required to complete all the problems within this lesson. They

should spend 45 minutes on this lesson.

E – Learning Day 3

For today’s E learning day you will be focusing on Factoring Using Greatest Common Factors. Follow the steps below for the day.

  • Read through the guided notes.
  • Complete the practice problems at the end of the lesson that go along with the notes. Name: ___________________________________

Factoring Using Greatest Common Factor

Steps to Factoring Out the GCF of Polynomials

**1. Find the Greatest Common Factor of the polynomial.

  1. Divide by the GCF.**
  • Simplify coefficients
  • Subtract exponents. ** Use this method when the leading coefficient is NOT 1.

1) 3x + 15 2) 12x +

3

2

3

2

FND Alg. 1B E – learning Practice Day 3 Name: ___________________________ Factor out the GCF of each Polynomial:

  1. 8 x^2 + 10 x 2. 6a² + 2a³
  2. 14a³ + 7a² + 21a 4. 18 𝑥𝑥 4 + 9𝑥𝑥 2
  3. 5a² + 20a – 10a³ 6. 6a² + 12a³
  4. 20 𝑥𝑥 4 + 10𝑥𝑥 3 + 30𝑥𝑥 8. 3 𝑥𝑥² – 21
  5. 4 𝑥𝑥² + 12𝑥𝑥 + 24𝑥𝑥³ 10. 2 𝑥𝑥 3 – 10 𝑥𝑥 2