Factoring Using Grouping with GCF

Factor:

7x³-8x²+42x-48

Mathematical Equivalence

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GCF stands for...

• great calculator fact

• greatest clean fan

• grouped calculation finder

• greatest common factor

Find GCF of 22x³+11x²

Mathematical Equivalence

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Factor Completely: 8x⁴ + 2x³ − 16x² − 4x

• 2x²(4x + 1)(x − 2)

• 2x(4x + 1)(x² − 2)

• 2x(x + 1)(x − 1)

• 2(x² − 2)(4x − 1)

Factor Completely: 3m⁴ + 6m³ + 48m² + 96m

• 3m(m² + 16)(m + 2)

• 3m(m² − 16)(m − 2)

• 3m(m + 4)(m − 4)(m + 2)

• 3m(m + 4)(m − 4)(m − 2)

Factor Completely: 3m⁴ + 6m³ + 48m² + 96m
**Hint: Factor by GCF THEN grouping

• 3m(m² + 16)(m + 2)

• 3m(m² − 16)(m − 2)

• 3m(m + 4)(m − 4)(m + 2)

• 3m(m + 4)(m − 4)(m − 2)

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

Whenever you are factoring

ANY polynomial,

what do you ALWAYS do first?

• Look for a GCF and take it out

• Use XBox Method

• Use Factor By Grouping

• Cry

What is the first question you ask yourself when factoring a polynomial?

• How many terms does it have?

• Is there a GCF?

• Have I completed all of my Algebra assignments this nine weeks?

• How long is this going to take?!?!?!