Chapter 5

Monomial

consisting of one term.

End behavior

Every graph has certain end behavior characteristics. The end behavior of a graph is defined as what is going on at the ends of each graph. ... As the function approaches positive or negative infinity, the leading term determines what the graph looks like as it moves towards infinity

Synthetic division

In algebra, synthetic division is a method of performing Euclidean division of polynomials, with less writing and fewer calculations than occur with polynomial long division. It is mostly taught for division by binomials of the form but the method generalizes to division by any monic polynomial, and to any polynomial.

Pascals triangle

In mathematics, Pascal's triangle is a triangular array of the binomial coefficients.

Standard form of a polynomial function

The expression 8 is a monomial that is a constant with no variable, its degree is zero. You can also work on the ways that you write polynomials. One way to write a polynomial is in standard form. In order to write any polynomial in standard form, you look at the degree of each

Relative minimum

The lowest point in a particular section of a graph. Note: The first derivative test and the second derivative test are common methods used to find minimum values of a function. See also. Global minimum, absolute minimum, global maximum, absolute maximum, local maximum, relative maximum, extremum

Turning point

This happens because the sign of f(x) changes from one side to the other side of r. Turning Points. If f is a polynomial function of degree n, then. there is at most n - 1 turning points on the graph of f. A turning point is a point at which the graph changes direction

Polynomial Function

A polynomial function is a function such as a quadratic, a cubic, a quartic, and so on, involving only non-negative integer powers of x. We can give a general defintion of a polynomial, and define its degree.

Relative maximum

Also called relative maximum, local maximum.the value of a function at a certain point in its domain, which is greater than or equal to the values at all other points in the immediate vicinity of the point.Compare absolute maximum.

Multiplicity

A large number