Algebra II - Unit 2 Polynomials

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)

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 12 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. What is a reasonable domain for V(x)?

• 0 < x < 10

• 0 < x < 5

• 0 < x < 12

• 0 < x < 6

Tags

CCSS.HSA.CED.A.3

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

• A. f(x) = (x - 2)(x - 4)(x + 5)

• B. f(x) = (x - 2)(x + 4)(x + 5)

• C. f(x) = (x + 2)(x - 4)(x + 5)

• D. f(x) = (x + 2)(x − 4)(x - 5)

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

What are the x-intercepts of the graph of y = (3x + 8)(5x - 3)(x - 1)?

• -8/3, 3/5, -1
• 8/3, -3/5, 1
• 8/3, 3/5, -1
• -8/3, 3/5, 1

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

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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)

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)

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?

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