Factoring & Complex Numbers

Find the GCF!
24c⁵ - 12c³

• 6

• 12c²

• 12c³

• 6c³

Tags

CCSS.6.NS.B.4

What's the first step we always take when we factor any polynomial?

• Look for a GCF

• Create a box

• Combine like terms

• Place our answer into parentheses

When we factor 4x² - 19x + 12, we're looking for two numbers that multiply to...

When we factor 2x² + x - 6, we're looking for two numbers that sum to...

What's the missing piece on the top right?

Tags

CCSS.HSA.CED.A.3

What's the missing term in the bottom left corner of the box?

Where's the error in simplifying the problem in the image?

• i² isn't -1

• -8i + 18i isn't 10i

• 3i times -2i isn't -6i²

• -6(-1) isn't -6

Tags

CCSS.HSN.CN.A.2

Why does i³³ simplify to i?

• Because 33 is divisible by 3

• Because the remainder of 33 divided by 4 is 2

• Because the remainder of 33 divided by 4 is 3

• Because the remainder of 33 divided by 4 is 1

Tags

CCSS.HSN.CN.A.2

Which of the following is the correct way to factor a sum of cubes

a³ + b³

• (a - b)(a² - ab + b²)

• (a + b)(a² - ab + b²)

• (a + b)(a² - ab - b²)

• (a - b)(a² + ab - b²)

Tags

CCSS.HSA.APR.C.4

If we're factoring a binomial and we've already found a GCF, next we...

• stop because we already found the answer

• look for two numbers that multiply to a*c and sum to b

• check for a difference of squares or a sum/difference of cubes

• write the terms in a box and pull out the common factors