Unit 4 test review

Operations with polynomials

100

4m⁴-m²+5m²+m⁴

5m⁴+4m²

200

(5+7x³+3x²)+(-12+5x+6x²)

7x³+9x²+5x-7

300

(5x+x⁴)-(3x⁴+4x)

-2x⁴+x

400

(2n+3)(n-2)

2n²-n-6

500

(8x+1)(6x-3)

48x²-18x-3

Factoring quadratics

100

x²+8x+7

(x+1)(x+7)

200

x²+2x-24

(x+6)(x-4)

300

2x²+3x-9

(2x-3)(x+3)

400

2x²+11x+5

(2x+1)(x+5)

500

9x²+66x+21

3(3x+1)(x+7)

Finding solutions to quadratics

100

(x+1)(x-5)

{-1,5}

200

(2x+3)(4x+3)

{-3/2,-3/4}

300

x²-11x+24

{3,8}

400

x²+5x-35=3x

{-7,5}

500

5x²-44x+120=-30+11x

{6,5}

Key features of quadratics

100

What is the shape of a quadratic graph called?

Parabola (pronounce it correctly:))

200

Would the following quadratic function open up or down?

-3x²+9x-2

Down

300

What is the line directly in the middle of a quadratic graph?

Axis of symmetry

400

Would the following quadratic equation have a minimum or a maximum?

y=x²-3x-9

Minimum

500

Look at the graph provided and identify the following

Vertex point

Minimum or maximum

x intercepts

y intercept

range

Vertex: (-2,2)

Maximum

x intercepts: (0,0) and (-4,0)

Y- intercept: (0,0)

Range: y less than or equal to 2