Polynomials and Quadratics

Characteristics of Quadratics

100

When given ax²+bx+c, what information can you get from a?

Up/Down or Stretched/Compressed

200

What are the three forms of quadratics?

General, Factored, and Vertex

300

When given (x+1)(x-3), what are the x-intercepts?

(-1, 0) (3, 0)

400

When given 3x²+5x+7, what is the y-intercept?

(0, 7)

500

When given 2(x-4)²+5, what is the vertex of the equation?

(4, 5)

Add & Subtract Polynomials

100

[T/F] When adding/subtracting polynomials, you are using the distributive property.

True

200

(2x³+4x²+3)+(3x²+5)

2x³+7x²+8

300

(6x⁴+3x³+2x+9)-(-2x³+4x²-6)

6x⁴+5x³-4x²+15

400

(8x⁵+2x+4x⁴+7x³+3x)+(5x⁵+12⁴+9x+2x³)

13x⁵+16x⁴+9x³+11x

500

(8x⁷+5x⁴+8x³+4x²+6x)+(12x⁷+7x⁴+11x³+7x²+10x)

20x⁷+12x⁴+19x³+11x²+16x

Multiplying Polynomials

100

The Box method.

What is the method to multiplying polynomials?

200

2x²+14+12

What is (x+6)(2x+2)?

300

x²-81

What is (x+9)(x-9)?

400

x²+30+225

What is (x+15)²?

500

5n²+19n+12

What is is (5n+4)(n+3)?

Quadratic Formula & Discriminant

100

To use the quadratic formula in general/standard do you have to set the equation to zero?

Yes 

200

TRUE/FALSE : Each value in the Quadratic Formula is the coefficient in standard form.

True

300

How many solution is b²-4ac>0???

Two Solution

400

What part of the quadratic equation is the discriminant?

b²-4ac 

500

3q²+8q-3=0

q= -3,1/3

Factoring & Completing The Square

100

The Diamond method.

What method is used to completing the square?

200

3(3x²+16x+48)

What is 9x²+48x+144 simplified/factored?

300

256

Find the c value of x²-32+c by completing the square.

400

25/4

Find the c value of a²-5a+c by completing the square.

500

x=-2+/- radical 3

What is the answer to x²+4x-1=0