Flashcard - Sythetic Division, Long Division, Zeros & End Behavio

Front

What is synthetic division?

Back

A method used to divide a polynomial by a linear binomial of the form (x - c) efficiently.

Front

What is the end behavior of a polynomial function?

Back

The behavior of the graph of the polynomial as x approaches positive or negative infinity.

Front

What does it mean for a number to be a zero of a polynomial?

Back

A zero of a polynomial is a value of x that makes the polynomial equal 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.

Front

How do you determine the degree of a polynomial?

Back

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

Front

What is the remainder theorem?

Back

The remainder theorem states that the remainder of the division of a polynomial f(x) by (x - c) is f(c).

Front

What is the difference between long division and synthetic division?

Back

Long division can be used for any polynomial division, while synthetic division is a shortcut for dividing by linear factors.

Front

What is a binomial?

Back

A polynomial with exactly two terms.

Front

What is a trinomial?

Back

A polynomial with exactly three terms.

Front

What is a cubic polynomial?

Back

A polynomial of degree three, which can be expressed in the form ax^3 + bx^2 + cx + d.