Show:
Sections 2.1-2.2
Sections 2.3-2.4
Section 2.6
Section 2.7
Sections 2.5 and 2.8
100
Solve x^2 times x^18.
What is x^20?
100
Add 2x^3-2x^2+7x-9 and x^3+6x^2+11 either vertically or horizontally.
What is 3x^3+4x^2-7x+2?
100
List the possible rational zeros for f(x)=x^2-17x+6
What is +-(1,2,3,6)?
100
This statement, If f(x) is a polynomial degree of n where n>0, then the equation f(x)=0 has at least one solution in the set of complex numbers, is called this.
What is the fundamental theorem of algebra?
100
The y-coordinate of a turning point if the point is higher than all other nearby points. The y-coordinate of a turning point if the point is lower than all other nearby points.
What is local maximum? What is local minimum?
200
A monomial or a sum of monomials.
What is a polynomial.
200
Multiply -2x^2+3x-6 and x-2 either vertically or horizontally.
What is -2x^3+7x^2-12x+12?
200
If f(x)=ax^n+...+bx+c had integer coefficients, then every rational zero if f has the form p/q.
What is Rational Zero Theorem?
200
If a factor of a solution appears twice, it is called this.
What is a repeated solution?
200
An algorithm for dividing a polynomial by another polynomial of the same or lower degree, set up the same way as if dividing numbers.
What is polynomial long division?
300
Give the type of polynomial function for: x^3-x^2+3x
What is Cubic?
300
A factorable polynomial with integer coefficients is this when written as a product of unfactorable polynomials with integer coefficients.
What is factored completely?
300
Using the trick learned to find zeros when the leading coefficient is 1, find all real zeros of f(x)=x^3-8x^2+11x+20.
What is -1, 4, and 5?
300
The statement, if f is a polynomial function with real coefficients, and a+bi is an imaginary zero of f, then a-bi is also a zero of f, is called this.
What is the complex conjugates theorem?
300

A graph has n distinct real zeros, the graph should have how many turning points?

What is n-1?

400
Solve [(x^3 y^4)^2]/(x^-4).
What is x^10 y^8?
400
Factor the polynomial x^3+2x^2-15x.
What is x(x+5)(x-3)?
400

State what p and q equal in the Rational Zero Theorem.

What is p=factor of constant term, and q=factor of leading coefficient.

400
In this equation, 12s^7-9s^6+4s^5-s^3+20s-50, according to Descartes' rule of signs, there are this many zeros.
What is 6?
400
Divide f(x)=3x^4-5x^3-4x-6 by x^2-3x+5 using long division.
What is 3x^2+4x-3+[(-25x+9)/(x^2-3x+5)]?
500
Use direct substitution to solve f(x)=2x^4-5x^3-4x+8 when x=3.
What is 23.
500
Factor by grouping x^3-3x^2-16x+48.
What is (x+4)(x-4)(x-3)?
500

Find all real zeros of f(x)=10x^4-11x^3-42x^2+7x+12.

What is -1/2, 3/5, [1+(17)^1/2]/2, 3/5, [1-(17)^1/2]/2.

500
In this equation, 12s^7-9s^6+4s^5-s^3+20s-50, according to the fundamental theorem of algebra, there are this many zeros.
What is 7?
500
Divide f(x)=2x^3+x^2-8x+5 by x+3 using synthetic division.
What is 2x^2-5x+7-(16/x+3)?