Pre-Calculus Polynomial Functions

Chauntelle Eckhaus

The terminology that you need to know about polynomial functions.

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Across
2.The number of times a linear factor occurs in a factored polynomial
6.The _____ Theorem tells us that the we can use the ____ from synthetic or long division to find the value of f(x).
10.The _____ Theorem gives us a way to find all of the possible factors of a polynomial by looking at the constant term and the leading term.
11.The ____ Theorem tells us that x-c is a ____ of a polynomial if and only if c is a zero of the polynomial.
13.The complex _____ of (a + bi) is (a - bi)
15.A quotient of two polynomials.
17.A vertical asymptote occurs where the function in the ______ equals zero.
19.A rational number is a quotient of _____
23.A _______ asymptote occurs when the degree of the numerator of a rational function is less than the degree of the denominator.
24.A _______ asymptote occurs when the degree of the numerator equals the degree of the denominator.
27.A number of the form a + bi
28.A quadratic factor that can't be factored any further over the real numbers is:
29.The minimum or maximum of a quadratic equation
Down
1.It can be expressed as ax2 + bx + c
3.The graph of any quadratic equation can be represented as a series of ______ of the basic function y = x^2
4.Find the x-intercept by setting____ equal to zero.
5.The first term in a polynomial is called the ______ term.
7.The total number of zeros of a polynomial of degree n, including multiplicities.
8.The constants of each term in a polynomial
9.You can find this from a factor
12.A ______ asymptote occurs when the degree of the numerator is 1 greater than the degree of the denominator.
14.Descartes' Rule of Signs helps us find the number of possible positive and negative real zeros by counting the number of ________.
16.The graph of a quadratic function
18.The letter we use to represent the multiplicity.
20.The real number values of x that makes f(x)=0
21.When hand sketching a polynomials, you first determine end behavior, then you plot the ______.
22.We can use this kind of division of polynomials when the divisor is of the form x-c.
25.The number ___ is defined as square root of -1.
26.The integer n is used to represent this in a polynomial
30.Find the y-intercept by setting ___ equal to zero.

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