Algebra II - Unit 2 Polynomials TEST

Sam 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 20 inches by 14 inches. The volume V(x) in cubic centimeters of the open-top box is a function of the side length x in inches of the square cutouts. a. Write an expression for V(x).

• V(x) =

  x (20 - 2x) (14 - 2x)

• V(x) = x (20 + x) (14 + x)

• V(x) = (20 - 2x) (14 -2 x)

• V(x) = x (20 - x) (14 - x)

Sam 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 20 inches by 14 inches. The volume V(x) in cubic centimeters of the open-top box is a function of the side length x in inches of the square cutouts. a. Write an expression for V(x).

• 0 < x < 10

• 0 < x < 7

• 0 < x < 20

• 0 < x < 14

Which polynomial function has zeros when x = -1, -4, 5 ?

• A. f(x) =

  (x - 1)(x - 4)(x + 5)

• B. f(x) =

  (x + 1)(x + 4)(x + 5)

• C. f(x) =

  (x + 1)(x + 4)(x - 5)

• D. f(x) =

  (x + 1)(x − 4)(x - 5)

What are the x-intercepts of the graph of y = (2x + 5)(5x - 3)(x - 1)?

• -5/2, 3/5, 1

• 5/2, -3/5, 1

• 5/2, 3/5, -1

• -5/2, 3/5, -1

State the end behavior of f(x) = -2x⁴ + 5x³ + 6x² -3x

• 
• 
• 
• 

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)

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)

Groups:

(a) A + B

,

(b) A - C

,

(c) C - B

,

(d) C + A

The binomial that can be rewritten by using the formula for the difference of two perfect squares is (a)   .

• x + 2

• x - 2

• x - 8

• x - 4

• x + 16