Graphing Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists 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 expression.

Front

What is a quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree 2, typically in the form of ax² + bx + c.

Front

What does it mean for a polynomial to be factored?

Back

Factoring a polynomial means expressing it as a product of its factors, which can be simpler polynomials.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.

Front

How do you find the roots of a polynomial?

Back

The roots of a polynomial are the values of x that make the polynomial equal to zero.

Front

What is the y-intercept of a polynomial?

Back

The y-intercept of a polynomial is the point where the graph intersects the y-axis, found by evaluating the polynomial at x=0.

Front

What is the significance of the leading coefficient?

Back

The leading coefficient is the coefficient of the term with the highest degree and determines the end behavior of the polynomial's graph.

Front

What is a cubic polynomial?

Back

A cubic polynomial is a polynomial of degree 3, typically in the form of ax³ + bx² + cx + d.

Front

What is the difference between a polynomial and a rational function?

Back

A polynomial is a function that consists of terms with non-negative integer exponents, while a rational function is a ratio of two polynomials.