A
Simplify:
(5x^2-3x+10)+(2x^2-7x-4)
7x^2-10x+6
What is the following polynomial in Standard Form and what is the degree?
3x+2x^2-2x^3+8-8x^5
-8x^5-2x^3+2x^2+3x+8
This is a 5th degree polynomial.
Factor:
12x^3y^2z^4+20x^2yz^4-32x^4yz^2
4x^2yz^2(3xyz^2+5z^2-8x^2)
Factor:
(9x^2-64)
(3x-8)(3x+8)
Factor:
9x^2+66x+21
3(3x+1)(x+7)
Simplify:
(5x^2+2x-6)-(2x^2-3x-7)
3x^2+5x+1
Solve:
x^2+3x-54=0
Factored:
(x+9)(x-6)
Solved:
x=-9, x=6
Factor:
49w^2-144y^2
(7w-12y)(7w+12y)
Factor:
5x^4-5
5(x-1)(x+1)(x^2+1)
Solve:
0=-16x^2-60x+100
Factored:
-4(x+5)(4x-5)
Solved:
x=-5, x=5/4
Using the vertical motion model:
h=-16t^2+vt+h
Find how long it will take for a pumpkin that is launched from a cannon at 96 ft/sec to reach a height of 129 feet for a second time.
128=-16t^2+96t+0
0=-16t^2+96t-128
0=-16(t^2-6t+8)
0=-16(t-2)(t-4)
t=4
A frame for a painting’s blueprint got lost en route to a gallery. All we know is:
1) The length of the painting is one foot less than twice the width.
2) The paintings area is 28 square feet.
Find the dimensions of the frame.
(2x-1)x=28
(x-4)(2x+7)
x=4
l=7 feet, w=4 feet