Interpreting Polynomials

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

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

• 0
• 1
• 2
• 3

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

• 0
• 2
• 4
• 6

            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 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

Find the remainder
(2x³ - 5x - 7) / (x + 2)

• -9
• 11
• -13
• -1

• 5p² - 16p
• 5p + 4
• 5p - 4
• 5p + 4p

• 1/m²
• m²
• m⁸
• 1/m⁸

Factor

• (3x+7y)(7x-7y)

• (3x+7)(3x-7)

• 3(x+7y)(x-7y)

• (3x+7y)(3x-7y)

Factor

• n(n-10)(n+5)

• n(n²-5n-50)

• (n+10)(n-5)

• n(n+10)(n-5)