Factoring Review

GCF

100

Find the GCF for 18 and 72

18

200

Find the GCF for 20x⁴,40x²,80x⁵

20x²

300

Find the GCF for 6x⁵,18x⁶,27x⁴

3x⁴

400

Factor out the GCF 

18x²-24x+54

6(3x²-4x+9)

500

Factor out the GCF 21x³-63x²+14x

7x(3x²-9x+2)

Factoring

100

Factor the quadratic 

x²-6x+9

(x-3)(x-3)

200

Factor the quadratic

 x²-4x-12

(x-6)(x+2)

300

Factor the Quadratic 

x²-2x-35

(x-7)(x+5)

400

Factor the Quadratic 

16x²+60x-100

4(4b-5)(b+5)

500

Factor the quadratic 

x²+x-72

(x+9)(x-8)

More Factoring

100

Factor the Quadratic 

3x²-15x+18

3(x-2)(x-3)

200

Factor the quadratic 

4x²-36x+72

4(x-6)(x-3)

300

Factor the Quadratic 

5x²-18x+9

(5x-3)(x-3)

400

Factor the Quadratic 

5x² -140+975

5(x-13)(x-15)

500

Factor the Quadratic 

15x²-27x-6

3(5x+1)(x-2)

Solve by Factoring

100

(K+5)(K-3)=0

k= -5 , 3

200

x²+7x+15=5

x= -5, -2

300

7x²-14x=-7

x = 1

400

6x²-18x-18=6

x = 4, -1

500

3x²-16x-7=5

x = -2/3 , 6

Factoring Word Problems

100

 The dimensions of a rectangle can be expressed as    (x - 1) and (x + 5). If the area of the rectangle is 91 squares inches, what are the dimensions of the rectangle?

x =8 

 

7 x 13 ft

200

The length of a rectangular garden is 8 meters more than its width. The area of the rectangle is 65 meters. Find the dimensions of the rectangle.

x = 5 

5 x 13 ft

300

The length of a rectangle is 1 meter less than twice the width.  Find the dimensions if the area is 45 square meters.

x = 5 

5 x 9 ft

400

The side length of a square can be expressed as 2x + 3. If the area of the square is 121 square meters, what is the value of x?

x = 4 

11 x 11 ft

500

A square is altered so that one dimension is increased by 4, while the other dimension is decreased by 2.  The area of the resulting rectangle is 55.  Find the area of the original square.

x = 7 

7 x 7 = 49 square ft