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Polynomials Distributive Property Factoring Solve by Factoring Quadratic Equations 10 Point 10 Point 10 Point 10 Point 10 Point 20 Points 20 Points 20 Points 20 Points 20 Points 30 Points 30 Points 30 Points 30 Points 30 Points 40 Points 40 Points 40 Points 40 Points 40 Points 50 Points 50 Points 50 Points 50 Points 50 Points

An expression with 2 terms such as 3x + 4y

Binomial

Classify the polynomial x2 + 3x + 6

Quadratic Trinomial

Simplify the expression (3x +x2 – x3) + (4x3 + 2x2 + 5x)

3x3 + 3x2 +8x

(3x2 – 8x + 4) - (7 + x2 – 8x)

(5x2 – 3x3 + 3) - (x2 + 8 – 5x)

- 3x3 + 4x2 + 5x + 3

7(x + 5)

7x + 35

(x + 3)(2x + 1)

(2x2 + 7x + 3

-2x(x2 + 4x – 3)

-2x3 – 8x2 + 6x

(2x – 4y)2

4x2 – 8xy + 16y2

(x + 3)(x2 – 2x + 6)

X3 + x2 + 18

(x + 2)(x + 5)

x2 – 4x + 3

( x- 3)(x – 1)

X2 + 2x - 24

(x + 6)(x – 4)

2x2 – x - 6

(x – 2)(2x + 3)

5(x + 3)(x + 2)

(x + 2)(x – 3) = 0

X = -2 X= 3

2x2 – 20 = 0

x2 + 8x + 16 = 0

X = -4

3x2 – 7x – 6 = 0

X = -3 X =

X2 – 16x = -28

X = 2 X = 14

Find the y intercept of the parabola given the equation Y = 3x2 – 5x + 7

Y int = (0, 7)

Tell whether the vertex represents a minimum or maximum value for the function Y = -x2 + 2x - 7

Absolute maximum

Find the vertex of the function Y = -x2 – 2x + 4

(-1, 5)

What is the axis of symmetry of the equation Y = -3x2 – 18x + 4

X = -3

Find the x intercepts of the function Y = x2 + 6x + 8

X = (-4,0) X = (-2,0)

Final Jeopardy Make your wager

Given the equation y = x2 - 4x + 3 Graph and label the vertex, axis of symmetry, x and y intercepts, and maximum/minimum

Vertex (2, -1) Axis of symmetry x= 2 X intercepts x=3, x=1 Y intercept = 3 Absolute minimum