Factoring Quadratics Quiz Review

Are they equivalent?

100

Are they equivalent?

(x^2+5x+6) and (x+4)(x+2)

No, they are not equivalent

x^2+5x+6 = (x+3)(x+2)

200

Are they equivalent?

x^2-16 and (x+8)(x-8)

No they are not 

x^2-16 = (x+4)(x-4)

300

Are they equivalent?

(x-5)(x-5) and x^2-10x-25

No, the 25 should be positive.

400

Are they equivalent?

9x^2-4 and (3x+2)(3x-2)

Yes they are equivalent

500

Are they equivalent?

(x+6)(x-7) and x^2 +1x-42

No, the 1x should be negative

Standard Form Equations

100

Rewrite in factored form

x^2+11x+30

(x+5)(x+6)

200

Rewrite in factored form:

x^2+13x-30

(x-2)(x+15)

300

Rewrite in factored form:

x^2+15x-100

(x+20)(x-5)

400

Rewrite in factored form:

x^2-9x+18

(x-3)(x-6)

500

Rewrite in factored form:

-x^2+28x+60

-(x-30)(x+2)

Difference of Squares

100

Rewrite in factored form:

x^2-100

(x+10)(x-10)

200

Rewrite in factored form:

x^2+81

Not possible, it has addition.

300

Rewrite in factored form:

9x^2-25

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

400

Rewrite in factored form:

5x^2-80

5(x+4)(x-4)

500

Rewrite in factored form:

4x^2-144

4(x-6)(x+6)

Zero Product Property

100

Solve for x:

x^2-7x+12=0

x=3 and x=4

200

Solve for x:

x^2-x-30=0

x=-5 and x=6

300

Solve for x:

x^2-8x=-15

x=3 and x=5

400

Solve for x:

x^2+12x=x-24

x=-8 and x=-3

500

Solve for x:

x^2-x-46=3x-1

x=-5 and x=9

Reverse Box Method

100

Factor using reverse box method:

2x^2+3x-5

(2x+5)(x-1)

200

Factor using reverse box method:

5x^2-8x+3

(x-1)(5x-3)

300

Factor using reverse box method:

2x^2+13x-7

(x+7)(2x-1)

400

Factor using reverse box method:

6x^2+5x+1

(3x+1)(2x+1)

500

Factor using reverse box method:

5x^2=8-3x

(5x+8)(x-1)