Algebra II Polynomials

Is the binomial (x - 9) a factor of 4x² - 33x - 27?

• yes

• no

If 𝟐x²+𝟏𝟎 is divided by 𝒙−𝟏, then what is the remainder?

Which of the following could be a possible equation for the function shown?

• f(x) =-2x³ + x² - 5x + 1

• f(x) = 2x³ - 4x² + x + 1

• f(x) = 3x² + 5x + 1

• f(x) = -2x³ +3x - 1

State the minimum degree of the function shown:

• 3

• 4

• 5

• 6

Identify the zeros:

• x=2, x=6, x=-4

• (x+2)(x+6)(x-4)

• (x-2)(x-6)(x+4)

• x=-2, x=-6, x=4

Use the quadratic formula to find the solutions for
y = -x² - 5x + 12

• -4.9 and -0.1

• -8.54 and 8.54

• -0.45 and 3.55

• -6.77 and 1.77

Simplify:

(4x³ + 2x² - 5x - 9) + (-3x³ - 5x² - x + 11)

• 7x³ + 7x² - 6x + 2

• x³ - 3x² - 6x + 2

• 7x³ - 3x² - 6x + 2

• x³ + 7x² - 4x + 2

Simplify:

(4x³ + 2x² - 5x - 9) - (-3x³ - 5x² - x + 11)

• 7x³ + 7x² - 4x - 20

• 7x³ - 3x² - 6x + 2

• x³ - 3x² - 6x + 2

• x³ + 7x² - 4x - 20

What is the relative maximum?

• (2,0)

• (4.67, -9.48)

Select all statements that apply to this graphed polynomial...

• The domain is (-∞,+∞)

• The range is (-∞,+∞)

• The range is [-4,+∞)

• There is a double root at 2

• There are 1 local minimum, 1 absolute minimum and 1 local maximum