Graphing Polynomials Edited

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (or indeterminates) raised to non-negative integer powers and coefficients, combined using addition, subtraction, and multiplication.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial expression.

Front

How do you find the y-intercept of a polynomial function?

Back

To find the y-intercept of a polynomial function, evaluate the function at x = 0.

Front

What are zeros of a polynomial?

Back

Zeros of a polynomial are the values of x for which the polynomial evaluates to zero.

Front

What does it mean for a polynomial to be increasing on an interval?

Back

A polynomial is increasing on an interval if, as x increases, the value of the polynomial also increases.

Front

What does it mean for a polynomial to be decreasing on an interval?

Back

A polynomial is decreasing on an interval if, as x increases, the value of the polynomial decreases.

Front

What is the multiplicity of a zero?

Back

The multiplicity of a zero refers to the number of times a particular zero appears as a root of the polynomial.

Front

How can you determine if a polynomial is even or odd?

Back

A polynomial is even if f(-x) = f(x) for all x, and it is odd if f(-x) = -f(x) for all x.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the end behavior of the polynomial function as x approaches positive or negative infinity.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is expressed as a sum of terms in descending order of the degree of the variable.