complete the square
factor trinomials (a=1)
factored to standard form
int. from factored form
solve by trinomial factor (a>1)
100

What is the intermediate step in the form (x+a)2=b             -4x2-72x-171=9

(x+9)2=36

100

x2-7x-18

(x+2)(x-9)

100

re-write  y=-7(x+9)(x-1)  in standard form

y=-7x2-56x+63

100

Determine the X-intercepts of  (x+5)(x-3)=y

(-5,0)(3,0)

100

solve  4x2-13x+11=-5x+8  by factoring

x=1/2      x=3/2

200

What is the intermediate step in the form (x+a)2=b                2x2-4x=-102

(x-1)2=-50

200

x2+9x+20

(x+4)(x+5)

200

re-write  y=6(x+1)(x+3)  in standard form

y=6x2+24x+18

200

Determine the Y-intercept of  (-x+4)(x+3)=y

(0,12)

200

solve  2x2-19x-8=-4x  by factoring

x=-1/2       x=8

300

What is the intermediate step in the form (x+a)2=b                    -6x2+632=-24x+8

(x-2)2=108

300

x2-9x+8

(x-1)(x-8)

300

re-write  y=-9(x-2)(x-5)  in standard form

y=-9x2+63x-90

300

Determine the X-intercepts of (-x-1)(x-3)=y

(-1,0)(3,0)

300

solve  3x2+2x-4=-2x  by factoring

x=2/3          x=-2

400

What is the intermediate step in the form (x+a)2=b                   x2+20x=-125

(x+10)2=-25

400
x2+13x+42

(x+6)(x+7)

400

re-write  y=-(x+4)(x-9)  in standard form

y=-x2+5x+36

400

Determine the X-intercepts of (-x-2)(x-4)=y

(-2,0)(4,0)

400

solve  6x2-18x+3=x  by factoring

x=1/6           x=3

500

What is the intermediate step in the form (x+a)2=b                   2x2-4x-19=15

(x-1)2=18

500

x2+5x-36

(x-4)(x+9)

500

re-write  y=5(x-5)(x+3)  in standard form

y=5x2-10x-75

500

Determine the Y-intercept of (x-4)(x-1)=y

(0,4)

500

solve  4x2-3x+12=5x+9  by factoring

x=3/2            x=1/2

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