Operations with Polynomials
(2x2+3x-7)+(3x2-4x-10)
5x2-x-17
At a festival, pumpkins are launched with large catapults and air cannons. On one launch, the height of a pumpkin in feet above the ground after t seconds is modeled by h=20+90t-16t2
From what height was the pumpkin launched?
20 feet
Factor the following Quadratic Equation
x2-16=0
(x+4)(x-4)
Solve the following Quadratic Equation
x2-16=0
x=-4 and x=4
(5x2-12x+1)-(2x2+3x-7)
3x2-15x+8
The length of a rectangle is 7 more than the width. If the area of the rectangle is 60 square inches, what are the dimensions of the rectangle?
5 inches by 12 inches
Factor the following Quadratic Equation
x2+7x+10=0
(x+5)(x+2)
Solve the following Quadratic Equation
x2+7x+10=0
x=-5 and x=-2
Simplify the product of (3x-5)(x-8)
3x2-29x+40
At a festival, pumpkins are launched with large catapults and air cannons. On one launch, the height of a pumpkin in feet above the ground after t seconds is modeled by h=20+90t-16t2
How long was the pumpkin in the air? Round your answer to the nearest hundredth.
5.84 seconds
Find the product:
(2x+3)(x-5)
2x2-7x-15
Solve the following Quadratic Equation
2x2-7x-15=0
x=-3/2 and x=5
Simplify the product of (2x-4)(x+3)
2x2+2x-12
A flare is lunched up with an initial velocity of 64 feet per second from the top of a 200 foot building. The equation h(t)=-16t2+64t+200 models this situation. Determine the maximum height of the flare and the time it takes to reach that maximum.
264 feet in 2 seconds
Find the product:
(2x+3)(5x+1)
10x2+17x+3
Solve the following Quadratic Equation
9x2-9x+2=0
x=1/3 and x=2/3
Simplify the product of (3x-4)(3x-1)
9x2-15x+4
At a swim meet, Janet dives from a diving board that is 20 feet high. Her position above the ware is represented by the equation y=-16x2+24x+20, where x represents the time in seconds and y represents the height above the water. After how many seconds does Janet enter the water?
2.096 seconds
The area of a rectangle is represented by the equation 3x2+17x+10. Find the dimensions of the rectangle in terms of x.
(x+5)(3x+2)
Solve the following Quadratic Equation
2x2+5x-3=0
x=-3 and x=1/2