Unit 2

Polynomials

100

Name the Degree and Leading Coefficient of the polynomial:

8x³ - 4x + 16

Degree: 3

LC: 8

200

(-10x² + x) + (-2x² + 9x + 7)

-12x² + 10x +7

300

(x² - 3) - (-7x² + 4x + 2)

8x² - 4x - 5

400

(x + 1)(3x + 2)

3x² + 5x + 2

500

(3x + 2)(x² - 4x - 2)

3x³ - 10x² - 14x - 4

Factoring

100

What is the GCF of this polynomial?

14x⁴ - 35x

7x

200

Factor: 36x⁴ - 28x²

4x²(9x² - 7)

300

Factor: 16x⁴ - 49

(4x² + 7)(4x² - 7)

400

Factor: x² + 5x - 24

(x - 3)(x + 8)

500

Factor: 3x² - 8x - 3

(3x + 1)(x - 3)

Quadratic Equations

100

x² - 4 = 0

x = {2, -2}

200

x² + 2x = -5x

x = {0,-7}

300

5(x - 6)² - 29 = -19

x = {6 + sqrt(2), 6 - sqrt(2)}

400

Solve BY COMPLETING THE SQUARE

x² - 8x = 3

x = {4 +-sqrt(19)}

500

Solve USING THE QUADRATIC EQUATION

5x² + 15x + 5 = -6

x = (-15 +- sqrt(5))/(10)

Parabolas and Graphs

100

What are the x - intercepts of the quadratic function:

y = (x - 5)(x + 2)

(5,0) and (-2,0)

200

Name the x - intercepts to the quadratic function:

y = x² - 6x + 8

(4,0) and (2,0)

300

Name is the axis of symmetry for the quadratic function:

y = -x² + 10x - 6

x = -5

400

Name the y - intercept of the quadratic equation:

y = 2x² - 4x + 6

(0,6)

500

Name the vertex of the quadratic function:

y = x² - 2x - 35

(1,-36)