Synthetic Division

Divide using synthetic division:

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

• 2x³ - x² + x + 9

• 2x² - x + 1

• 2x² - x + 1 + 9/x-2

• 2x² - 9x - 15 - 23/x-2

The answer to a division problem

• Sum

• Divisor

• Product

• Quotient

What is the remainder if

(x³ - 5x² + 2x - 10) is divided by (x - 5)?

• 0

• 4

• 7

• -1

The number that you divide by is the:

• Dividend

• Divisor

• Quotient

• Remainder

Divide using synthetic division

(2x³ + 4x² - 5) by (x + 3).

• 2x-2 R(1)

• 2x² - 2x + 6 R(-23)

• 2x² - 2x + 8 R(-20)

• 2x²-2x+6 R(1)

            Is (x-2) a factor of             f(x)= x³-8x²+14x-4?

• Yes, (x-2) is a factor. There is a remainder.
• No, (x-2) is  not a factor. The remainder is zero.
• Yes, (x-2) is a factor. The remainder is zero.
• No, (x-2) is  not a factor. There is a remainder. 

Divide using long division:

(x³+2x²-x+5) ÷ (x²-x+1)

• x²+3+(x+2/x²-x+1)

• x+3+ (x+2/x²-x+1)

• x²+1+ (-x+6/x²-x+1)

• x+1+ (-x+6/x²-x+1)

The number being divided

• Dividend

• Divisor

• Quotient

• Remainder

What should be the order of the polynomial coefficients if
(3x - 4x³ + 6x⁴ + 1) / (x + 3)

• 3   0   -4   6   1
• 6   -4   3   1   0
• 6   -4   0   3   1
• -6   4   0   -3   -1

Divide using synthetic division:

(2x³ + 7x² - 6x - 8) ÷ (x + 4)

• 2x² - x - 2

• 2x³ - x² - 2x

• 2x² + 15x + 54 + 208/x+4

• 2x³ + 15x² + 54x + 208