Polynomial Division and Synthetic Division

What is the next step in synthetic division?

• Bring the 6 down

• Multiply the 9 and 6

• Bring the 9 down

• Add the 9 and 6

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?

• Multiply the 9 and 6

• Add the 6 and -58

• Bring down the -58

• Divide the -58 by 6

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

• 9

• -9

Find the quotient:

(2x³ + 5x² + 9) ÷ (x + 3)

• 2x² - x + 3

• 2x³ - x² + 3x

• 2x² + 11x + 33 + 108/x+3

• 2x² - 5x + 12

Find the quotient:

(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

What is the proper way to write the answer for the following problem?

• 2x³-x²-25x+12

• 2x⁴-x³-25x²-12x+0

• 2x³-x²-25x-12

• 2x⁴-x³-25x²-12x-0

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

Find the quotient: (2x³ - 5x - 7) ÷ (x - 2)

• 2x³ - 4x² + 3x - 13

• 2x³ + 4x² +3x - 1

• 2x² - 4x + 3 - 13/x-2

• 2x² + 4x + 3 - 1/x-2

Answer explanation

p(x) ---> Dividend

d(x) ---> Divisor

q(x) ---> Quotient

r(x) ---> Remainder