Factoring!
Factor: x2+4x-21
(x+7)(x-3)
Solve: x2+21x = 22
{1, -22}
A triangle has an area of 36 square inches. If the height of the tangle is 6 in more than its base, what are its height and base? Create a polynomial equation and solve by factoring.
1/2 x(x+6) = 36
12ft by 6 ft
Billie dives from a 36ft platform with an initial upward velocity of 14 ft/s. How long will it take Billie to reach the water?
2 seconds
Factor: 6x4-6
6(x2+1)(x+1)(x-1)
Solve: 9x2-1 = 0
{1/3, -1/3}
The length of a rectangular swimming pool is 20 ft greater than its width. The area of the pool is 525 feet. What are the dimensions of the pool? Create a polynomial equation to represent the situation and solve by factoring.
w(w+20) = 525
15 ft by 35 ft
Shannon throws a shot put with an initial upward velocity of 29 ft/s from an initial height of 6 ft. After how many seconds will the shot put hit the ground?
2 seconds
Factor: 12x2+69x +45
3(4x+3)(x+5)
Solve: -4x2+19x = -30
{-5/4, 6}
A rectangular garden is twice as long as it is wide. If its length is increased by 4 ft and its width is decreased by 3 ft, the new rectangle formed has an area of 100 ft2 Find the dimensions of the new rectangle. Create a polynomial equation and solve by factoring.
(2x+4)(x-3) = 100
5ft by 20 ft
Rosie throws a ball upward from a 506 foot tall building. The initial upward velocity is 48 feet per second. Find how long the ball was in the air if it lands on a balcony that is 218 feet above the ground.
6 seconds