Polynomials
GCF & Rewriting
Solving for x
Interest
Class Facts
100
Find the sum of the polynomials:
(x + 2) + (3 + 2x)
Solution:
100
Find the GCF:
5y + 15
GCF = 5
100
Solve for x:
2x + 3 = 15
x = 6
100
Which formula is the formula for compound interest?
A(n) = Prt + P OR A(n) = P (1 + r)n
A(n) = P (1 + r)n
100
This type of sequence increases by addition or subtraction.
What is an arithmetic sequence?
200
What is the first step when adding/subtracting polynomials?
Multiplying the polynomials by their coefficient to get rid of parentheses (distributing).
200
Find the GCF:
12x2 - 24x
GCF = 12x
200
Solve for a:
a = 0
200
What does each variable in the simple interest formula stand for?
A(n) = Prt + P
P = Principal Amount
r = Interest rate (in decimal form)
t = Time (in years)
200
This type of sequence increases by multiplication.
What is a geometric sequence?
300
Find the sum of the polynomials:
(2a2 - 3a + 4) - 2(3a2 + 5a - 7)
Solution:
-4a2 - 13a + 18
300
Rewrite the equation:
4a2 + 16a
Rewritten:
4a (a + 4)
300
Anytime you are solving for a variable, you are trying to _______________ the variable on ________ side of the equation.
What is isolate and one?
300
If you invest $500 in a bank that gives you a simple interest rate of 5%, how much money will you have after 5 years?
$625 after 5 years
A(5) = 500 (0.05)(5) + 500
300
Any number to the power of zero equals this number.
What is 1?
400
Find the product of the polynomials:
(x + 3)(3x2 + x - 5)
Solution:
3x3 + 10x2 - 2x -15
400
Find the GCF:
16x3 - 28x2y
GCF = 4x2
400
Solve for a:
3(a - 3) = -5a + 5
Solution:
a = 2
400
If Adrian borrowed $900 from a loan shark with a compound interest rate of 3%, and Adrian didn't pay back the loan until 12 years later, how much would he owe? (Round to the nearest hundreth)
$1710.91
A(12) = 1200(1.03)12
400
This formula represents the base formula for linear functions, also known as slope intercept form.
What is y=mx+b?
500
Find the product of the polynomials:
(y + 2)(y - 3)(2y + 1)
Solution:
2y3 - y2 - 13y - 6
500
Find the GCF and rewrite:
14zy2 - 35z2y
GCF = 7zy
Rewritten: 7zy (2y - 5z)
500
Solve for z:
2z2 + 4z - 8 = 4 + z (2z + 1)
Solution:
z = 4
500
If Mr. Donlin invested $550 in two different accounts, one with a simple interest of 9% each year, and one with a compound interest of 5% each year, which account would yield more money after 25 years?
The compound interest rate account.
Compound: A(25) = 550 (1.05)25 = $1,862.50
Simple: A(25) = 550 (0.09)(25) + 550 = $1,787.50
500
Who is the only NBA player to record multiple 30 point halves in a single NBA Finals series in the last 40 years? (He is also the only player other than Michael Jordan to win multiple MVPs, Defensive Player of the Year DPOY and Finals MVP in NBA history)
Giannis Antetokounmpo 