AAC #3 Polynomials

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

How many terms are in this polynomial?

2x³ - 8x² + 3x - 7

• 7

• 1

• 4

• 2

Expand
(b - 2)³

• b³ - 2b² + 4b - 8
• 5b³ - 20b² + 40b - 40
• b³ - 6b² + 12b - 8
• 4b³ - 12b² + 16b - 8

What is the coefficient of this term?

9x³

• None

• 9

• 3

• x

Multiply.

(x − 3)(6x − 2)

• 6x² − 20x + 6
• 6x² + 20x - 6
• 6x² +6
• 6x + 6

Divide.

• x + 5 + (2/2x - 4)
• x - 8
• x - 5 + (3/2x - 4)
• x + 5

What is the the DEGREE:

4x³ - 5x² + 2x - 1

• 1

• 2

• 3

• 4

Find the sum.

(3x³ + 3x² – 4x + 5) + (x³ – 2x² + x – 4)

• 4x³ + 1x² – 3x + 1

• 4x³ + 1x² - 5x + 1

• 3x³ + 1x² - 3x + 1

• 3x⁶+1x⁴ - 3x² + 1

Divide (x² + 5x - 8) by (x + 3). What is the remainder?

• 16
• 12
• -14
• -16