Polynomials Synthetic Division

Find all zeros of the polynomial using synthetic division. x² - 9 = 0

• x = -3

• x = -3, 3

• x = 3

• x = -3i, 3i

Find all zeros of the polynomial using synthetic division. x² - 8x + 16 = 0

• x = 4

• x = -2, 4

• x = 8

• x = -8, 2

Find all zeros of the polynomial using synthetic division. x² + 10x + 25 = 0

• x = -5, 2

• x = -2, 5

• x = -5

• x = 5

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

• 0

• 1

• 2

• 3

(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

if f(x) = 3x² -9x -20, find the value of f(5) using synthetic division.

• 0

• 10

• 15

• -7

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. 

If (x-2) is not a factor of (2x³-5x-7), what is the remainder?

• -13

• 0

• 13

• -1

What is the remainder of  (3x³ -5x² -4x +1) ÷ (x + 3)?

• -25

• 25

• 113

• -113

Divide the polynomial by synthetic division.

(-2x²+4x+48) ÷ (x+4)

• -2x+12

• 2x+12

• -4x+9

• 4x+9