Higher Degree Polynomials

What is the degree of a polynomial function with the equation f(x) = 3x^4 + 2x^3 - 5x^2 + 7x - 1?

• 3

• 2

• 4

• 1

Graph the polynomial function f(x) = x^3 - 2x^2 + x - 1. Identify the x-intercepts and y-intercept.

• The x-intercepts are 1 and (1 ± √5) / 2, and the y-intercept is -1.

• The x-intercepts are 1 and (1 ± √4) / 2, and the y-intercept is 1.

• The x-intercepts are 1 and (1 ± √2) / 2, and the y-intercept is 0.

• The x-intercepts are 1 and (1 ± √3) / 2, and the y-intercept is -1.

Find the zeros of the polynomial function f(x) = 2x^2 - 5x + 3.

• x = 3, x = 1

• x = 2, x = 1

• x = 1/2, x = 1

• x = 3/2, x = 1

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is the leading coefficient of the polynomial function f(x) = -4x^5 + 2x^3 - 7x^2 + 9x + 1?

• -2

• 7

• 0

• -4

Graph the polynomial function f(x) = -x^4 + 3x^3 - 2x^2 + 5x - 1. Identify the x-intercepts and y-intercept.

• The x-intercepts are (-1, 0) and (1, 0). The y-intercept is (-1, -1).

• The x-intercepts are (0, -1) and (0, 1). The y-intercept is (0, -1).

• The x-intercepts are (-1, 1) and (1, -1). The y-intercept is (1, -1).

• The x-intercepts are (-1, -1) and (1, 1). The y-intercept is (1, 1).

Find the zeros of the polynomial function f(x) = x^3 + 4x^2 - 3x - 2.

• -1, 2

• 3, -4

• 0, -1

• 1, -2

Tags

CCSS.HSF-IF.C.7C

What is the degree of a polynomial function with the equation f(x) = 6x^6 - 2x^4 + 3x^2 - 5?

• 8

• 4

• 6

• 2

Graph the polynomial function f(x) = 2x^3 - 5x^2 + 4x - 3. Identify the x-intercepts and y-intercept.

• The x-intercepts are (-1, 0), (2, 0), and (4, 0). The y-intercept is (0, -3).

• The x-intercepts are (-2, 0), (0, 0), and (5, 0). The y-intercept is (0, -3).

• The x-intercepts are (-3, 0), (1, 0), and (4, 0). The y-intercept is (0, -2).

• The x-intercepts are (-1.5, 0), (1, 0), and (3, 0). The y-intercept is (0, -3).

Find the zeros of the polynomial function f(x) = 3x^2 + 2x - 1.

• 1/2, -1/3

• 1/4, -1/2

• 1/5, -1/4

• 1/3, -1

What is the leading coefficient of the polynomial function f(x) = 5x^4 - 2x^3 + 7x^2 - 3x + 1?

• -3

• 7

• -2

• 5