Polynomials Test Review

Solve the equation.

• v = -1, v = 1, and v = 2

• v = -2, v = -1, and v = 1

• v = -2 and v = 1

• v = -1 and v = 2

Decide whether the function is a polynomial. If so, write it in standard form and state its degree, type, and leading coefficient.

• polynomial function; h(x) = -x⁴ -8x² +½x -10; degree: 4 (quartic), leading coefficient: -1

• not a polynomial function

• polynomial function; h(x) = -10 +½x -8x² -x⁴; degree: 1 (linear), leading coefficient: -10

• polynomial function; h(x) = -10 +½x -8x² -x⁴; degree: 4 (quartic), leading coefficient: -10

Describe the end behavior of the graph of the function.

• h(x) → ∞ as x → - ∞ and h(x) → - ∞ as x → ∞

• h(x) → - ∞ as x → - ∞ and h(x) → ∞ as x → ∞

• h(x) → - ∞ as x → - ∞ and h(x) → - ∞ as x → ∞

• h(x) → ∞ as x → - ∞ and h(x) → ∞ as x → ∞

Find the sum.

• 29x⁶ -1

• -17x⁶ +20x⁴ +16x² +11x -1

• -9x⁶ +2x⁴ +10x³ +16x² +2x +2

• -17x⁶ +20x⁴ +11x³ +16x² +2x +2

Find the difference.

• -4x³ +17x² -2x

• -12x³ +x² +14x +18

• -4x³ +17x² -2x +18

• -12x³ +17x² -2x

Find the product.

• p² +64

• p² -16p -64

• 2p -16

• p² -16p +64

Find all real zeros of the function.

• -8, 3, and 5

• -3, 5, and 8

• -5, 3, and 8

• -8, -5, and -3

Describe the transformation of f(x) represented by g(x). Check by graphing each function.

• The graph of g(x) is a translation 4 units right and 5 units down of the graph of f(x).

• The graph of g(x) is a translation 5 units right and 4 units down of the graph of f(x).

• The graph of g(x) is a translation 4 units left and 5 units down of the graph of f(x).

• The graph of g(x) is a translation 4 units left and 5 units up of the graph of f(x).

Factor completely.

• (y² - 5) (y + 2)

• (y² + 5) (y - 2)

• (y² - 2) (y + 5)

• (y² + 2) (y - 5)

Factor completely.

• 2b² (b + 7) (b +7)

• 2b² (b - 7) (b -7)

• 2b² (b - 7) (b +7)

• 2b² (b² - 49)