Defenitions
The largest exponent of a polynomial
What is the Degree?
3x⁴ - 2x³ + 7x² - 5x + 9
What is the degree of this polynomial?
What is 4?
This is the distance between the center of a circle and the edge.
What is the Radius?
What are the Solutions?
(x−3)(x+2)=0
What is x = 3 and x = -2?
These two methods help you divide polynomials.
What is Polynomial Long Division and the Box Method?
The first term in a polynomial (the one with the largest exponent)
What is the Leading Term?
3x⁴ - 2x³ + 7x² - 5x + 9
What is the leading term?
What is 3x4?
This type of function is defined by a fraction with polynomials in the numerator and denominator.
What is a Rational function?
What are the Solutions?
x(x−5)(x+1)=0
What is x = 0, x = 5, and x = -1?
This is the number left over after dividing two numbers.
What is the remainder?
The term without any x's. Just a number!
What is the Constant term?
3x⁴ - 2x³ + 7x² - 5x + 9
What is the constat term?
What is 9?
This is a line that a graph approaches but NEVER touches
What is a vertical asymptote?
What are the Solutions?
(x−4)2=0
What is x = 4?
This happens when there is a negative sign in front of the leading term of the polynomial
What is, the graph flips?
What is a Coefficient?
3x⁴ - 2x³ + 7x² - 5x + 9
What is the leading coefficient?
What is 3?
True or False: If the graph is moving towards zero, eventually there will be a number (other than infinity) where the graph will reach 0.
What is False?
What are the Solutions?
(2x−6)(x+3)(x−1)=0
What are x = -3, x = 1, and x = 3 (OR 6/2)?
True or False: an exponent on a factored form of a polynomial (ex. (x-2)2) Does Not change the solution of the polynomial.
What is True?
How y acts when x gets more positive or more negative.
What is the End Behavior?
3x⁴ - 2x³ + 7x² - 5x + 9
What are ALL the coefficients?
What is 3, -2, +7, -5?
For the function y = 10/x, this value for x will make the function undefined, or not make sense.
What is x = 0?
What are the Solutions?
x(x−2)2(x+4)=0
What are x = 0, x = 2, and x = -4?
True or False: If a function has a negative exponent, it is still a polynomial.
What is False?