Lesson 32 Polynomials and Their Graphs

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents, 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.

Front

What is a leading coefficient?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What is the y-intercept of a polynomial function?

Back

The y-intercept is the value of the polynomial function when the input (x) is zero.

Front

What does end behavior of a polynomial function refer to?

Back

End behavior describes how the values of a polynomial function behave as the input (x) approaches positive or negative infinity.

Front

What are real zeros of a polynomial?

Back

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

Front

What is multiplicity in relation to polynomial zeros?

Back

Multiplicity refers to the number of times a particular zero is repeated in a polynomial function.

Front

How do you find the zeros of a polynomial function?

Back

To find the zeros, set the polynomial equal to zero and solve for x.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is expressed as a_0 + a_1x + a_2x^2 + ... + a_nx^n, where a_n is the leading coefficient.

Front

What is the difference between even and odd degree polynomials in terms of end behavior?

Back

Even degree polynomials have the same end behavior on both sides (both up or both down), while odd degree polynomials have opposite end behavior (one side up, the other down).