Synthetic Division

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3
• 2x³ - x² + 3x
• 2x² + 11x + 33 + 108/x+3
• 2x² - 5x + 12

(3x³ + 5x - 1) ÷ (x + 1)

• 3x³ - 3x² + 8x - 9
• 3x² - 3x + 8 - 9/x+1
• 3x² + 3x + 8 + 7/x+1
• 3x³ + 3x² + 8x + 7

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

• Cam wrote the remainder incorrectly.

• Cam did not use a zero place holder for the x³ term.

• Cam added instead of subtracting the rows.

• Cam should have used -2 as his division since the factor was x-2.

How can I tell, when doing synthetic division, if the binomial is a FACTOR of the dividend?

• The remainder is zero

• They are all factors

• We can't tell

• The remainder is a constant

What does this tell me?

• f(-2)= -27 and -27 is the remainder

• -2 is a solution of the function

• (x+2) is a factor of the function

• (x-2) is a factor of the function

It's time to write the answer. What goes in the yellow area?

• 9

• -9

What is the next step in synthetic division?

• Multiply the 9 and 6

• Add the 9 and 6

• Bring down the -48

What is the next step in synthetic division?

• Add the -48 to the 54

• Multiply the 54 and 6

• Divide the 54 by 6

• Bring down the -58