Greatest Common Factor of Monomials

Do Now

7

Determine the factored form of each polynomial.

LO: SWBAT factor quadratic polynomials of the form
ax²+ bx + c with a GCF.

DOL: Given 5 problems, students will correctly factor
expressions in the form of ax² + bx + c with or without a GCF at least 4 of 5 questions.

ALGI.10E - Factor, if possible trinomials with real factors in the form ax2+ bx + c, including perfect square trinomials of
degree two.

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Today you will factor polynomials with…

a GCF

12

​GCF
Greatest Common Factor

What is the largest factor both values have in common?

Math Response

What is the GCF of 36 and 27.

Type answer here

Correct Answer: 9

Deg^°

Rad

​GCF
Greatest Common Factor

​What is the greatest common factor of each pairs of monomials?

​15y and 30y²

-5a²b² and -3ab

Write-Pair-Share 3 minute

Use our previous answer to factor the expressions below and discuss the outcome with your shoulder partner.

Partner on the left factor

​15y + 30y²

-5a²b² - 3ab

Partner on the right factor

​GCF - Greatest Common Factor

​What is the greatest common factor of the following trinomial?

Open Ended

What is the greatest common factor of $$24x^4y^3-12x^2y+18xy^2$$

Multiple Choice

What is the GCF of

$$6x^2+37x+6$$

• 1

• 6

• 3

• There is no GCF

​GCF - Greatest Common Factor

​Completely factor the following trinomial on your whiteboard? (2 minutes)

​GCF - Greatest Common Factor

​Completely factor the following trinomial?

​GCF - Greatest Common Factor

​Completely factor the following trinomial?

Demonstration of Learning

DOL: Given 5
problems, students
will correctly
students will
correctly factor
expressions in the
form of ax2+ bx + c,
where a ≠1 in at
least 4 of 5
questions in at
least 4 of 5
questions.

27

Open Ended

How do you completely factor any polynomial?