Polynomial Functions Jeopardy Template

Naming

Operations

Solving

Writing Equations

Graphing

100

Write the name of the polynomial:

y = x² + 3x - 1

Quadratic Trinomial

100

Simplify the expression:

(2x² + 4x) + (3x² - 3x)

5x² + x

100

Find all zeros for the polynomial:

y = (x + 8)(x - 9)

x = -8, 9

100

Write a FACTORED FORM polynomial with these roots:

x = 3, -4

y = (x - 3)(x + 4)

100

Sketch a graph of the polynomial. Include all x-intercepts, y-intercepts, and end behavior.

y = (x + 1)(x - 1)(x - 3)

y-int: (0, 3)

x-int: (-1, 0) cross, (1, 0) cross, (3, 0) cross

End Beh: down, up

200

Write the name of the polynomial:

y = 4

Constant Monomial

200

Simplify the expression:

(x³ - 2x + 1) - (2x² - 3)

x³ - 2x² - 2x + 4

200

Find all zeros for the polynomial:

y = 5x(2x - 3)(9x + 4)

x = 0, 3/2, -4/9

x = 0, 1.5, -0.444

200

Write a FACTORED FORM polynomial with these roots:

x = 0, 1, -2

y = x(x - 1)(x + 2)

200

Sketch a graph of the polynomial. Include all x-intercepts, y-intercepts, and end behavior.

y = (x + 4)²(x - 2)²

y-int: (0, 64)

x-int: (-4, 0) bounce, (2, 0) bounce

End Beh: up, up

300

Write the name of the polynomial:

y = 4x³ - 2x² + x - 1

Cubic Polynomial

300

Simplify the expression:

5x²(3x² - x + 5)

15x⁴ - 5x³ + 25x²

300

Find all zeros for the polynomial:

y = x² + 7x + 12

x = -3, -4

300

Write a STANDARD FORM polynomial with these roots:

x = 2, -6

y = x² + 4x - 12

300

Sketch a graph of the polynomial. Include all x-intercepts, y-intercepts, and end behavior.

y = x² + 5x + 6

y-int: (0, 6)

x-int: (-3, 0) cross, (-2, 0) cross

End Beh: up, up

400

Write the name of the polynomial:

y = 10x¹⁰ - x

Degree 10 Binomial

400

Simplify the expression:

-x(5x + 2) + 3(x² + x - 2)

-2x² + x - 6

400

Find all zeros for the polynomial:

y = x³ + 4x² - 21x

x = 0, -7, 3

400

Write a STANDARD FORM polynomial with these roots:

x = 0, -3, 5

y = x³ - 2x² - 15x

400

Sketch a graph of the polynomial. Include all x-intercepts, y-intercepts, and end behavior.

y = x⁴ - 8x³ + 15x²

y-int: (0, 0)

x-int: (0, 0) bounce, (3, 0) cross, (5, 0) cross

End Beh: up, up

500

Write the name of the polynomial:

f(x) = x⁸ + 4x⁹ - 9x

Degree 9 Trinomial

500

Simplify the expression:

(4x² + 2x)(x² + 3x - 4)

4x⁴ + 14x³ - 10x² - 8x

500

Find all zeros for the polynomial:

y = x⁴ - 20x² + 64

x = 4, -4, 2, -2

500

Write a STANDARD FORM polynomial with these roots:

x = -2, -4, 5, 7

y = x⁴ - 6x³ - 29x² + 114x + 280

500

Sketch a graph of the polynomial. Include all x-intercepts, y-intercepts, and end behavior.

y = -3(x - 3)³(x + 1)(x - 5)²(x + 4)

y-int: (0, 8100)

x-int: (-4, 0) cross, (-1, 0) cross, (3, 0) cross, (5, 0) bounce

End Beh: up, down