Quadratics 5.2-5.4, 5.6

Factor when a=1

100

x²+10+25

(x+5)²

200

x²-12x+27

(x-9)(x-3)

300

x²+2x-24

(x+6)(x-4)

400

x²-5x+6

(x-3)(x-2)

500

y⁴-7y²-18

(y²-9)(y²+2)

Factor when a>1

100

2x²-7x+6

(2x -3 )(x-2)

200

9x²+6x+1

(3x+1)²

300

2x²-x-6

(2x+3)(x-2)

400

4y²+12y+9

(2y+3)²

500

4x³+10r²-6r

2r(r+3)(2r-1)

Solve by completing the square

100

Solve by completing the square:

x²-4x=45

x=9, -5

200

r²-2r=35

r=7, -5

300

y²-6y+9=25

y=8, -2

400

s²-4s+5=0

s= 2+i, 2-i

500

r²+4r+10=0

r=-2+ i square root 6, 2-i square root 6

Misc

100

What is the difference between factoring a quadratic and solving a quadratic equation?

When you factor all you need to do is put the polynomial in its factored form. When you solve you put it in the factored form and then set each factor equal to zero to solve for the variable.

200

Factor x²-16

(x+4)(x-4)

300

Solve  x²+81=0

x=9i, -9i 

400

Multiply (2x+5)²

4x²+20x+25

500

Solve by taking the root:

3(s+5)²=-48

s=-5 (+-)4i