Synthetic Polynomials

Divide using synthetic division 
(2x³ + 4x² - 5) by (x + 3).

• 2x² + 2x - 4  R(-12)

• 2x² - 2x + 6  R(-23)

• 2x² - 2x + 8  R(-20)

• 2x² - 4x + 1  R0

Is this division problem worked correctly?

• This is correct!

• This is incorrect!

• 2x³ + 3x + (7/x-4)
• 2x² + 3x + 8 + (7/x-4)
• 2x² + 3x + 8
• 2x² - x + 10 + (6/x-4)

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. 

• x + 5 + (2/2x - 4)
• x - 8
• x - 5 + (3/2x - 4)
• x + 5

Find all the zeros, given that f(-3) = 0
f(x) = 2x³+5x²-6x-9

• -1,-3,-3

• -1,-3,3/2

• 3,3,3

• -3,2/3,-1

What is the quotient when (10n² - 37n - 12) is divided by (n - 4)?

• (10n - 3)

• (3n - 10)

• (10n + 3)

• (3n + 10)

Find all zeros of the polynomial using synthetic division. x² + x − 2 = 0

• x = 1, -2

• x = -1, 2

• x = -1, -2

• x = 1, 2

Find all zeros of the polynomial using synthetic division. x² - x − 30 = 0

• x = -5, 6

• x = -6, 5

• x = -15, 2

• x = -2, 15

Find all zeros of the polynomial using synthetic division. x² - 6x − 7 = 0

• x = -1, 7

• x = -7, 1

• x = -7, -1

• x = 1, 7