Higher Polynomial Characteristics Practice PART 1

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

What is the end behavior of a polynomial function?

Back

The end behavior of a polynomial function describes how the function behaves as the input values approach positive or negative infinity.

Front

What are zeros of a polynomial?

Back

Zeros of a polynomial are the values of x for which the polynomial evaluates to zero. They are also known as roots.

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. A zero with an even multiplicity touches the x-axis, while a zero with an odd multiplicity crosses the x-axis.

Front

How do you find the zeros of a polynomial function?

Back

To find the zeros of a polynomial function, set the polynomial equal to zero and solve for the variable.

Front

What is the difference of cubes formula?

Back

The difference of cubes formula is a^3 - b^3 = (a - b)(a^2 + ab + b^2).

Front

How do you factor a polynomial?

Back

To factor a polynomial, look for common factors, use special factoring formulas (like difference of squares or cubes), or apply polynomial long division.

Front

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

Back

The leading coefficient is the coefficient of the term with the highest degree. It affects the end behavior of the polynomial function.

Front

What does it mean for a polynomial to be in standard form?

Back

A polynomial is in standard form when its terms are arranged in descending order of degree.

Front

What is the relationship between the degree of a polynomial and the number of zeros?

Back

A polynomial of degree n can have up to n real zeros, counting multiplicities.