Adding Polynomials
Multiplying Polynomials
Factoring
Solving Equations
1
Add the polynomials:
(x2 +3x + 5) + ( -x2 +6x)
9x + 5
1
Multiply the Polynomials:
3x2 (2x4)
6x6
1
Factor out the GCF
18n4+42nm+6n
6n(3n^3+7m+1)
1
Solve the equation
2x(x + 1)(\pi - 1) = 0.
0, -1
2
Subtract the Polynomials:
(2x - 3x) - (x2 -2x + 4)
-x2 + x - 4
2
Multiply the Polynomials:
(4n - 1)(3n + 4)
12n2 + 13n - 4
2
Factor:
p2 +2p -35
(p-5)(p+7)
2
Solve the equation
x^3 - 11x^2 = -30x.
0, 5, 6
3
Write an expression that represents the area of the shaded region in terms of x.
2x + 53
3
Multiply the Polynomials:
(d + 3)(d2 - 4d + 1)
d3 - d2 -11d + 3
3
Factor:
n3 - 9n
n(n+3)(n-3)
3
Find the x -intercepts of the function
f(x) = x^2 - x - 2.
2, -1
4
In this pyramid, you add two neighboring blocks to find the value of the block above. What expression will be in the top box?
12a - b
4
A rectangular pool is twice as long as it is wide, and is surrounded by a stone walkway on all sides that is 2 feet wide. Ara has enough stones to cover a walkway that is 76 square feet. Find the dimensions of the pool, given that Ara has just enough stones to cover the walkway.
5 by 10
4
The width of the rectangle is 2x - 3. What is the height?
2
4
The sum of two numbers is 23, and their product is 120. What are the two numbers?
8, 15
5
The difference of the squares of two consecutive even integers is 68. What are these numbers?
16, 18