What is the definition of a family of a functions?
a set of functions with a common characteristic
100
Using long division, we can find...?
Quotient and Remainder
100
There are two forms of stating answer. What are they?
quotient form and corresponding statement
100
How to determine the remainder without dividing?
Remainder Theorem
100
Name the 4 terms that we use in long division.
divisor,dividend,quotient and remainder
200
Instead of using long division,we can also use...
synthetic division
200
All of the roots of polynomial equations correspond to the x-intercepts of the graph of the corresponding polynomial function. True or False?
true
200
All polynomial equations can be solved graphically. True or false?
True
200
What information is required to determine an equation for a family of polynomial equations?
x-intercepts or the zeros
200
Use the remainder theorem to determine the remainder when P(x)=2x^3+x^2-3x-6 is divided by x+1.
-4
300
divide x^3=3x^2-2x+5 by x+1. express the result in quotient form.
(x^3+3x^2-2x+5)/(x+1) = (x^2+2x-4)+(9/(x+1))
300
1) Determine an equation for the family of cubic functions with zeros -4,0, and 2.
2) Based on the equation above,the graph passes through the point (-2,4).Determine the new equation.
1) y=k x (x+4)(x-2)
2) y=1/4 x (x+4)(x-2)
300
Solve the polynomial inequality by graphing the polynomial function.
x^2 - x - 12 < 0
-3 < x < 4
300
Factor the cubes.
x^3-8
x^3-8=(x-2)(x^2+2x+4)
300
a) Determine the value of k such that when
f(x)=x^4+kx^3-2x^2+1 is divided by x+2. the remainder is 5.
b) Determine the remainder when f(x) is divided by x+4.