Algebra II Polynomials

Which polynomial function's graph is shown here?

• f(x) = (x + 1)(x+3)(x+4)

• f(x) = (x + 1)(x − 3)(x+4)

• f(x) = (x - 1)(x+3)(x-4)

• f(x) = (x - 1)(x-3)(x-4)

Tags

CCSS.HSA.APR.B.3

Here is the graph of a polynomial function with degree 4. Select ALL of the statements that are true about the function.

• The leading coefficient is positive.

• The constant term is negative.

• It has 2 relative maximums.

• One of the zeros is x=2

• One of the factors is

  (x-1)

Mai wants to make an open-top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard is 10 centimeters by 10 centimeters. The volume V(x) in cubic centimeters of the open-top box is a function of the side length x in centimeters of the square cutouts. a. Write an expression for V(x).

• V(x) = x (10 - 2x) (10 - 2x)

• V(x) = x (10 + x) (10 + x)

• V(x) = (10 - 2x) (10 -2 x)

• V(x) = x (10 - x) (10 - x)

Which polynomial function has zeros when x = -2, 4, 5 ?

• f(x) = (x - 2)(x - 4)(x + 5)

• f(x) = (x - 2)(x + 4)(x + 5)

• f(x) = (x + 2)(x - 4)(x + 5)

• f(x) = (x + 2)(x − 4)(x - 5)

Tags

CCSS.HSA.APR.B.3

Which of these standard form equations is equivalent to (x + 1)(x-2)(x+4)(3x + 7)?

Tags

CCSS.HSA.APR.A.1

State the end behavior of f(x) = -x³ + 5x² + 6x + 1

• 
• 
• 
• 

The polynomial function B(x) = x³ + 8x² + 5x − 14 has a known factor of (x + 2).

Rewrite B(x) as a product of linear factors. Hint...Use Synthetic Division.

• (x + 2)(x + 7)(x + 1)

• (x + 2)(x - 7)(x - 1)

• (x - 2)(x + 7)(x - 1)

• (x + 2)(x + 7)(x - 1)

Tags

CCSS.HSA.APR.B.2

Given g(x) = (x-3)(x + 1)(x-2)

Place a point on each of the zeros and the y-intercept

Which of the following graphs is a third degree polynomial?

• 
• 
• 
• 
• 

• x + 2

• x - 2

• x - 8

• x - 4

• x + 16

Tags

CCSS.HSA.APR.B.2