The degree and leading coefficient of the equation 7+5(x^4)+(x^3)
What is 4 (the degree) and 5 (leading coefficient)?
100
Use the Remainder Theorem to determine the remainder when 2(x^3)-3(x^2)+x is divided by x-1. State whether the binomial is a factor of the polynomial.
What is the remainder of 0? What is yes?
100
Use the Upper Bound Theorem to find an integral upper bound and the Lower Bound Theorem to find an integral lower bound of the zeros of the function f(x)=(x^2)-x-1
What is 2 (upper bound) and -1 (lower bound).
100
Equations in which radical expressions include variations.
What are radical equations?
100
Write a polynomial equation of least degree for the set of roots: -2, -0.5, 4. Does it have an odd or even degree?
What is (x^3)-3.5(x^2)-x-4=0? What is odd?
200
Is -1 a root of (x^4)-4(x^3)-(x^2)+4x=0?
What is Yes
200
Divide (x^3)-(x^2)+2 by x+1 using synthetic division.
What is (x^2)-2x+2 with a remainder of 0?
200
The LCD of the equation...
What is (n^2)-1?
200
Can be solved using the same techniques used for solving radical equations.
What are radical inequalities?
200
Determine ALL of the binomial factors of (x^3)-7x+6 if one of the factors is (x-1).
What are (x+3), (x-1), and (x-2)?
300
The number of complex zeros, real zeros, and imaginary zeros from the graph...
What is 5 complex zeros, 3 real zeros, and 2 imaginary zeros?
300
List the possible rational roots of the equation (x^4)+(x^2)-2=0
What are 1, -1, 2, -2?
300
Solve the equation....
What is n=(5/3)?
300
The first step in solving the following radical equation.
What is isolate the radical?
300
The conjugate of the root 3+5i
What is 3-5i?
400
Solve the equation by completing the square: 3(x^2)+12x-36=0
What is x=-6, 2?
400
Determine the rational roots of the equation (x^4)+(x^2)-2=0
What are x=1, -1?
400
Decompose the following fraction into partical fractions...
What is ...
400
Solve the following radical equation.
What is no real solution?
400
The Quadratic Formula.
What is ...
500
Find the discriminant of the equation (x^2)-6x+13=0 and describe the nature of the roots. Finally solve using the Quadratic Formula.
What is -16 (the discriminant), roots are imaginary, and x=3+2i, 3-2i?
500
Find the number of possible positive real zeros and the number of possible negative real zeros for the function 8(x^3)-6(x^2)-23x+6=0
What are 2 or 0 possible positive real zeros? What is 1 possible negative real zero?
500
Solve the following equation...
What is 0<a<2?
500
Solve the following radical inequality.
What is -1.25<x<23.75
500
The binomial x-r is a factor of the polynomial P(x) if and only if P(r)=0