Polynomial Skills Assessment

Identify the type of polynomial: 3x^2 + 5x - 1

• Quadratic polynomial

• Exponential polynomial

• Cubic polynomial

• Linear polynomial

Solve the equation: 2x^2 + 3x - 5 = 0

• x = 0, 2.5

• x = 1, -2.5

• x = -1, 5

• x = 2, -3

Graph the function: f(x) = x^3 - 2x^2 + x

• The graph of f(x) = x^3 - 2x^2 + x will have no critical points.

• Graphing the function f(x) = x^3 - 2x^2 + x will result in a curve that passes through the points (0,0), (1,0), and (2,-2). The curve will have a local minimum at (1,-1/3) and a local maximum at (2,-2).

• Graphing the function f(x) = x^3 - 2x^2 + x will result in a straight line passing through the origin.

• The function f(x) = x^3 - 2x^2 + x will have a horizontal asymptote at y = 0.

Factor the polynomial: x^2 - 4

• (x - 1)(x + 4)

• (x + 2)(x - 2)

• (x + 1)(x - 3)

• (x + 3)(x - 3)

What is the degree of the polynomial 4x^3 - 2x^2 + 7x - 1?

• 4

• 2

• 5

• 3

Solve the equation: x^2 + 6x + 9 = 0

• x = -3

• x = 0

• x = -6

• x = 2

Graph the function: f(x) = -2x^4 + 3x^3 - x^2 + 5

• The graph will only have one x-intercept

• Graphing the function involves using trigonometric functions

• Graphing the function f(x) = -2x^4 + 3x^3 - x^2 + 5 involves identifying key points and using calculus to find local extrema. The graph will show the behavior of the function as x approaches infinity and negative infinity.

• The function is linear

Factor the polynomial: 2x^2 + 5x + 3

• (2x + 3)(x + 2)

• (2x + 3)(x + 1)

• (2x + 4)(x + 1)

• (2x + 2)(x + 1)

Identify the type of polynomial: 5x^4 - 3x^2 + 2x

• Linear polynomial

• Cubic polynomial

• Quadratic polynomial

• Quartic polynomial

What is the leading coefficient of the polynomial 3x^5 - 2x^3 + 4x^2 - x + 7?

• 3

• 7

• 2

• 5