Understand, Add, & Subtract Polynomials
Multiply Polynomials
Factor Binomials
Factor Trinomials
Factor Completely
Mega Challenge
100
Complete the table.
100
Multiply.
(5x + 3)(-2x - 9)
-10x2 - 51x - 27
100
Factor and Solve.
2m2 + 8m = 0
2m(m + 4) = 0
m = 0,-4
100
Factor.
x2 - 17x - 38
(x - 19)(x + 2)
100
Factor.
–3y2 + 36y – 108
–3(y – 6)2
200
Add.
(5x4 - 2x3 + x - 10) + (4x4 - x2 + 3x - 10)
9x4 - 2x3 - x2 + 4x - 20
200
Multiply.
(3k + 2)(3k – 2)
9k2 – 4
200
Factor and Solve.
16y2 = 32y
16y(y - 2) = 0
y = 0, 2
200
Solve for x.
x2 - 15x = -44
x = 11, 4
200
Factor.
–18x2 + 8
-2(3x + 2)(3x - 2)
300
Subtract.
(-x3 + 6x6 - 2x + 1) - (4x6 - x3 + 8x - 19)
2x6 - 10x + 20
300
Multiply.
(10d - 3f)2
100d2 – 60df + 9f2
300
Factor and Solve.
25x2 = 4
(5x + 2)(5x - 2) = 0
x =2/5, -2/5
300
Find the dimensions of the rectangle.
17 meters by 2 meters
300
A rock is tossed upward with an initial velocity of 8 feet per second from the top of a 120 foot cliff that overlooks the ocean. After how many seconds does the rock hit the water?
3 seconds
400
( -10k2+7k + 6k4) + (-14 - 4k4 - 14k)
2k4-10k2- 7k - 14
400
Multiply.
(2w3 + 5)(2w3 – 7w – 1)
4w6 – 14w4 + 8w3 – 35w – 5
400
Factor and Solve.
2x3 - 128x = 0
2x(x + 8)(x - 8) = 0
x = 0, 8, -8
400
Factor.
6x2 + 17x + 12
(2x + 3)(3x + 4)
400
Solve.
h3 + 4h2 – 25h – 100 = 0
h = -4, -5, 5
500
(y3 - 7x4y4) + (-10x4y3 + 6y3 + 4x4y4) - (x4y3 + 6x4y4)
-9x4y4 - 11x4y3 + 7y3
500
Multiply.
(x + 4)3
x3 + 12x2 + 48x + 64
500
4y3 − 7y2−16y + 28 = 0
y = -2, 2, 7/4
500
Solve for x.
x(3x + 14) = 5
x = -5, 1/3
500
A box has a volume of 600 cm3.
-The height is h cm.
-The length is 25 cm longer than the height.
-The width is 1 cm shorter than than the height.
Find the dimensions of the box.
30 cm by 4 cm by 5 cm
500
Solve for x using the Pythagorean theorem and what you've learned in Ch 7.
x = 1 unit
