Alg2 Review on Section 3.4

Front

What is a zero of a function?

Back

A zero of a function is a value of x for which the function f(x) = 0.

Front

How can you find the real zeros of a polynomial function?

Back

You can find the real zeros of a polynomial function by factoring the polynomial, using the Rational Root Theorem, or applying synthetic division.

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that if a polynomial f(x) is divided by (x - c), the remainder of that division is f(c).

Front

What is synthetic division?

Back

Synthetic division is a simplified form of polynomial long division that is used when dividing by a linear factor of the form (x - c).

Front

What does it mean for a polynomial to be factored completely?

Back

A polynomial is factored completely when it is expressed as a product of irreducible polynomials over the given number system.

Front

What is the significance of the factor (x - c) in polynomial functions?

Back

If (x - c) is a factor of a polynomial, then c is a zero of the polynomial.

Front

How do you evaluate a polynomial at a specific value?

Back

To evaluate a polynomial p(x) at a specific value x = a, substitute a into the polynomial and simplify.

Front

What is polynomial long division?

Back

Polynomial long division is a method used to divide a polynomial by another polynomial of equal or lower degree.

Front

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

Back

A polynomial of degree n can have at most n real zeros.

Front

What is the Factor Theorem?

Back

The Factor Theorem states that (x - c) is a factor of a polynomial f(x) if and only if f(c) = 0.