Question

concept map on polynamials​

Answer 1

Answer:

Polynomials

Vocabulary

End behavior

What is going on at the ends of each graph.

Leading coefficient

The numbers written in front of the variable

with the largest exponent.

Local maximum

The greatest value in a set of points.

Local minimum

The least value in set of points.

Monomial

Consisting of one term

Multiplicity

A large number

Polynomial

is the sum of one or more monomials with

real coefficients and non negative integer

exponents.

Polynomial function

real numbers and n are a non negative

integer.

Synthetic division

A shorthand, or shortcut, method of

polynomial division in the case of dividing

by a linear factor.

Turning point

a time at which a decisive change in a situation occurs

Transforming polynomial

function

Vertical=f(x)+K

Horizontal=F(x+h)

Vertical stretch=Af(x)

Investigating graphs of

polynomial functions

Linear graph=degree 1

Quadratic graph=degree 2

Cubic graph=degree 3

Quartic graph=degree 4

Quintic graph=degree 5

Finding real roots of

polynomial equations.

Use the zero product property tot find the

zeros or solutions.

Fundamental theorem

of algebra.

Use the Zero product property to find the

solutions of the numbers and then factor

the solutions.

Dividing polynomials

You can either use long term division or

synthetic division

Factoring polynomials

X-A must equal 0 so to see if the given

binomial is a factor of the polynomial

you use synthetic substitution and if it equals 0 then it is a factor.

Identifying the leading

coefficient and the

degree of a polynomial

5x^3+15

The Leading coefficient would be 5 and the

degree would be 3

Multiplying and monomial and a

polynomial

(x+2)(x^2+3x+5)

You multiply x by everything in the other

parenthesis and then multiply 2 by

everything in the other parenthesis and

then you combine like terms