Binomial Expansion
In the general equation for Binomial expansion what does the "n" represent?
The power of the binomial.
When using the AC method to factor 3x^2+4x-8 what numbers would you multiply first?
3 and 8
What is a system of equations.
Two equations that help solve each other.
What does synthetic division do?
Factors or divides a root from a polynomial.
(tie for with the winners) Classify the following
x^2 +5x
Binomial
(Daily Triple)If you are solving (x-2)^2 by binomial expansion what represents b?
-2
When you solve a quadratic. What are the values?
The x intercepts.
What are the three methods of solving systems of equations?
Graphing, Elimination and Substitution.
If we had x^5 +2x+1 what ) terms would we need to add?
0x^4, 0x^3, 0x^2
Classify the following.
2x^4 +x^6+6x +1
Polynomial
What is Pascal's Triangle?
A triangle created by placing ones on the outside and adding the terms in the above row.
What is the quadratic formula?
(-b+or - sqrt(b^2 -4ac))/2a
What is the most apparent way to solve the following system of equations?
3x-y =7
2x+y =3
Elimination
(Daily Double)If we do not have a root given for synthetic division how can we find the possible roots?
P/ Q where P is the coefficient of the lowest degreed term and Q is the coefficient of the highest degreed term.
What is the third term?
4x^2 +9x
It doesn't have one.
If you were solving (3x-4)^4 by pascal's triangle method, What are the numbers of the coefficients you will use for the expansion?
1, 4,6,4, 1
Solve 3x^2 +5x - 12 = 0
x = 4/3 and -3
Solve the following system of equations.
y = 3x+2
x-y = 6
x = 4 and y =-10
What are the possible roots for x^3 +2x^2 +18x+3?
+3, -3, -1, +1
Classify the following then simplify and reclassify.
x^2 +3x +x^3 -3x +2 -2x^2-x^3 +x^0
1st: Polynomial
2nd -x^2+3 Binomial
What is the expanded form of (x-3)^4?
x^4 -12x^3+54x^2 -108x +81
Solve the following.
x^2 - 16
x = +4, -4
(Daily Double)What equations would you need to solve the following word problem?
A Farmer is building a rectangular fence for Livestock along a river. He has 1000 feet of fencing. He wants to separate the pens for cattle and sheep by putting a fence right down the middle. If he wants the whole field to have an area of 70,000 feet , what is the measure of the three width fences?
1000 = 3W +L
70,000 = WL
Go to the board and show the synthetic division for
2x^3 +5x^2-4x-3 using the Smallest, Whole, Positive root.
Write out the factored form of the polynomial.
(x-1)(2x^2+7x-3)
Is 1 a polynomial?
Yes, a monomial.