polynomials

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

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

(2x³ + 7x² - 6x - 8) ÷ (x + 4)

• 2x² - x - 2
• 2x³ - x² - 2x
• 2x² + 15x + 54 + 208/x+4
• 2x³ + 15x² + 54x + 208

Factor
x² -16x + 48

• (x - 12)(x - 4)
• (x + 6)(x - 8)
• (x + 12)(x - 4)
• (x -16)(x - 3)

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

How are factors related to x-intercepts?

• They are the same

• They are not related

• x-intercepts are found by setting the factors=0

• x-intercepts are found by setting x=0

Which of the following could be the equation for the polynomial shown?

• f(x)=(x-1)(2x+1)(x-3)

• f(x)=(x-1)(2x+1)²(x-3)

• f(x)=(x-1)²(2x+1)(x-3)

• f(x)=(x-1)(2x+1)(x-3)²

• None of these would match the graph

The degree of the polynomial determines the max number of roots.

• True

• False

f(x) = 2x³ - 3x² + 4x -10

What is the degree of f(x)?

• 3

• 2

• 1

• 0

• x=9

• x=-9

• x=-9,9

• x=81

• x=-81