mth 129_ch 1 and 2_1.25.26

expanding polynomials

100

Expand (x+5)(x+2)

x²+7x+10

200

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

2x³+5x-12

300

(x+1)(x²+3x+2)

x³+4x²+5x+2

400

(2x−1)(x²−x+3)

2x³−3x²+7x−3

500

(x−2)(x+1)²

x³-3x-2

finding the solution set

100

25=x²

x=5,-5

200

x²−5x+6=0

x=2,3

300

x²−4x−5=0

x=5,-1

400

3x²-9x=0

x=0,3

500

3x²+2x=8

x=4/3, -2

factoring polynomials

100

x²+5x+6  

(x+2)(x+3)

200

x²−9x+20

(x−4)(x−5)

300

9x²−25

(3x-5)(3x+5)

400

4x²−12x+9

(2x-3)²

500

2x³−8x²−10x

2x(x−5)(x+1) 

vocab

100

What is the leading coefficient of 4x-10x^2+7?

-10

200

What is a quadratic equation?

A polynomial with a highest degree of 2 and only powers of positive integers.

300

What is the y intercept of y=x²+5x+6?

(0,6)

400

What is the x intercept of y=3x+12?

(-4,0)

500

What is the quadratic formula for an equation in the form mx²+nx+p=0?

x=(-n +/- sqrt(n² - 4mp))/2m

lines

100

What is slope intercept form?

y=mx+b

200

What is point slope form?

y-y1=m(x-x1)

300

Find the slope of the line that goes from (3,7) to (9,19)

(19-7)/(9-3)=12/6=2

400

Find the equation of a line with slope -6 and point (8,10) in point slope form

y-10=-6(x-8)

500

Find the equation for a line with slope 5 and point (3,7) in slope intercept form

y=5x-8