GCF
Find the GCF for 18 and 72
18
Factor the quadratic
x2-6x+9
(x-3)(x-3)
Factor the Quadratic
3x2-15x+18
3(x-2)(x-3)
(K+5)(K-3)=0
k= -5 , 3
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
Find the GCF for 20x4,40x2,80x5
20x2
Factor the quadratic
x2-4x-12
(x-6)(x+2)
Factor the quadratic
4x2-36x+72
4(x-6)(x-3)
x2+7x+15=5
x= -5, -2
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
Find the GCF for 6x5,18x6,27x4
3x4
Factor the Quadratic
x2-2x-35
(x-7)(x+5)
Factor the Quadratic
5x2-18x+9
(5x-3)(x-3)
7x2-14x=-7
x = 1
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
Factor out the GCF
18x2-24x+54
6(3x2-4x+9)
Factor the Quadratic
16x2+60x-100
4(4b-5)(b+5)
Factor the Quadratic
5x2 -140+975
5(x-13)(x-15)
6x2-18x-18=6
x = 4, -1
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
Factor out the GCF 21x3-63x2+14x
7x(3x2-9x+2)
Factor the quadratic
x2+x-72
(x+9)(x-8)
Factor the Quadratic
15x2-27x-6
3(5x+1)(x-2)
3x2-16x-7=5
x = -2/3 , 6
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