Prop. of Exponents
Polynomial Vocab.
Substitution
Add/Sub./Mult.
Factoring
100
The solution of a^m * a^n.
What is a^(m+n)?
100
To determine the degree, look for the __________.
What is the highest power?
100
The two types of substitution.
What are direct and synthetic?
100
When subtracting polynomials, this is the first thing you get rid of.
What are the parantheses?
100
A common problem is: Factor out the ____ common monomial.
What is the greatest?
200
The solution of a^m/a^n.
What is a^m-n?
200
For example in the standard form of a constant equation: f(x)=a(subscript)0 The value of "a" must be a ______ number.
What is a real number?
200
In synthetic substitution, the shape of the format used to solve the problem is _____.
What is an L shape?
200
In subtracting polynomials, this is the second thing you do.
What is grouping all the same factors together?
200
The formula for the shortcut of a^3+b^3.
What is (a+b)(a^2-ab+b^2)?
300
The solution of (a*b)^m.
What is a^m * b^m?
300
For example, in the standard form for the constant polynomial: f(x)=a(subscript)0 The value for "n" must be a ______ number.
What is a whole number?
300
In synthetic substitution, which way do you move through the columns while adding?
What is vertically down?
300
When doing anything with polynomials, the exponents must go (down/up) in order from (least to greatest/ greatest to least).
What is down in order from greatest to least?
300
The formula for finding the shortcut of a^3-b^3.
What is (a-b)(a^2+ab+b^2)?
400
The solution of (a^m)^n.
What is a^mn?
400
The leading coefficient in a standard polynomial function is _____, the coefficient in front of the highest number.
What is a(subscript)n?
400
The numbers in the top row of synthetic substitution are the _____________.
What are the coefficients of the polynomial?
400
In the process of multiplying polynomials, you would ____ the factors in parantheses and outside the parantheses.
What is foil?
400
Factoring for grouping is just like factoring by ______.
What is splitting the middle term?
500
The solution of a^-n
What is 1/a^n
500
An example of a quartic polynomial equation.
What is f(x)=x^4 + 2x^2 - 1?
500
The number at _____ of the synthetic division process is the answer.
What is the end?
500
Solve this problem: (x-6)(x+4)(x-5)
What is x^3-7x^2-14x+120
500
This is the only time synthetic division works.
What is dividing by (x-a)?
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