Polynomial Multiplication and Synthetic Division

Was this problem done correctly?

• Yes, because if you multiply the answer, x²-2x-8 by x-3 you will get x³-5x²-2x+24

• No, because you are supposed to change the signs.

• Yes, because if you add all of the numbers together you get 3.

• No because when you multiply 3 times 1 you should write it below the 1 in the problem, then add and drop that answer down.

If you are dividing by synthetic division what is the first step?

• Bring down the 5 below the line.

• Add all the coefficients

• Divide 5 by -2

• Multiply the 5 and 2

For this synthetic division problem, what goes next to the 5 below the line?

• 4

• -16

• 16

• -4

If we divide these polynomials using synthetic division, what coefficients should we write on the top row?

• 5, 6, 28, 2

• 5, -6, -28, -2

• -5, 6, 28, 2

• -5, -6, -28, -2

Divide using Synthetic Division:

x⁶ - 4 =

• (x³ + 2)(x³ - 2)

• (x³ + 2)(x³ + 2)

• (x^{3 -} 2)(x³ - 2)

• None of the above

(2h² - k²)²

• 4h⁴ - 4h²k² + k⁴

• 4h⁴ + 4h²k² + k⁴

• 4h⁴ + k⁴

• 4h⁴ - k⁴

( 2x - 8)²

• 4x² + 64

• 4x² -16x + 64

• 4x² + 16x - 64

• 4x² - 64

For synthetic division, what would be the number in the left hand box?

• 0

• 1

• 2

• 3

(2x³ + 7x² - 6x - 8) ÷ (x + 4)

• 2x² - x - 2

• 2x³ - x² - 2x

• 2x² + 15x + 54 + 208/x+4

• 2x³ + 15x² + 54x + 208