Algebra II Unit 6

binomial

-In most cases, the product of a monomial and a binomial is a -The coefficients of the terms on the right side of a ___ equation are the numbers in Pascal's Triangle

linear

A(n) ___ function, in the form `f(x)=mx+b,` is a polynomial function.

constant

Closure means that whenever you add or subtract two polynomials, you get a ____.

horizontal line test

If every horizontal line intersects a graph of a function just once, then the function is one-to-one and therefore an inverse function exists

vertical line test

If every vertical line intersects a graph just once, the graph is of a function

odd

If the highest exponent of a polynomial function is ___, then the range of the function is always all real numbers.

even

If the highest exponent of a polynomial function is ___, then the range of the function is never all real numbers.

negative

If the leading coefficient of a polynomial function is ___, then the right end of the graph always points down.

positive

If the leading coefficient of a polynomial function is ___, then the right end of the graph always points up.

terms

If the monomial is not zero, the product of a monomial and a polynomial will have as many ___ as the polynomial.

factors

It is often useful to find the ___ of a polynomial in order to find its roots.

domain

The ___ of a polynomial function is always all real numbers.

range

The ___ of a polynomial function is sometimes all real numbers.

polynomial

The composition of a polynomial function and another polynomial function will be a ___ function.

leading

The denominators of any rational roots of a polynomial will be the factors of the ___ coefficient

inverse

The graph of the ___ of a polynomial function is the reflection of the graph of the polynomial function over the line y = x

constant

The numerators of any rational roots of a polynomial will be the factors of the ___ term.

real

The points where the graph of the polynomial crosses the x - axis are called ___ number roots

zero

The roots of a polynomial are values that make the polynomial equal ___.

not

The set of polynomials is ___ closed under division

always

The set of polynomials is ___ closed under multiplication

remainder

The value of a polynomial at x = 7 is the ___ when the polynomial is divided by x - 7

vertical

You can determine if the inverse of a polynomial function is a function by using the ___ line test on the inverse.

horizontal

You can determine if the inverse of a polynomial function is a function by using the ___ line test on the polynomial function.

synthetic division

a shortcut method of dividing a polynomial by a linear polynomial by using only the coefficients of the terms of the polynomials

Pascal's Triangle

a triangular array of numbers such that each row is the coefficients of the terms of the expanded form of the powers of a binomial of the form ( a + b )^n