Topic 5.1-5.6

Solutions

100

Find zeroes: k²-49

(x+7)(x-7)

x= +7,-7

200

Find zeroes: x²=100

(x+10)(x-10)

x= +10,-10

300

x²-10x+25=0

x=5

400

16x² + 88x + 121=0

x= -11/4

500

8a³ - 98a = 0

2a(2a-7)(2a+7) 

x=-7/2, 0, +7/2 

Solving Polynomials

100

(x+4)(x-4)

x² - 16

200

(x-4)(x+10)

x² + 6x -40

300

(x-5)²

x² - 10x + 25

400

(4x-5)(3x+2)

12x² - 7x - 10

500

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

18x³ + 51x² + 36x

Factoring

100

9x² - 30x + 25

(3x-5)²

200

4 - x²

(2+x)(2-x)  or -1(x+2)(x-2)

300

5x² - 24x - 5  

(5x+1)(x-5)

400

6d² + 5d = 1

(6d+1)(d-1)

500

18x² - 9x - 5

(3x+1)(6x-5)

vocab

100

x-intercepts from a quadratic function are called this.

What are zeroes of the equation?

200

This model helps to factor a quadratic equation

What is AC model?

300

when your A and C term are perfect squares, with no B term in the quadratic. 

What is difference of Squares or Perfect squares?

400

This represents the maximum or the minimum on a quadratic function graphed.

What is Vertex?

500

This property says if ab=0, then either a=0 or b=0 or a=b=0

What is zero product property