Nov 26 2024 Unit 5 TEST Block 1

Front

What is polynomial long division?

Back

Polynomial long division is a method used to divide a polynomial by another polynomial of the same or lower degree, similar to numerical long division.

Front

What is the result of dividing a polynomial by a monomial?

Back

When dividing a polynomial by a monomial, each term of the polynomial is divided by the monomial.

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 does it mean for a number to be a zero of a function?

Back

A number k is a zero of a function f(x) if f(k) = 0.

Front

How do you find the sum of two functions?

Back

To find the sum of two functions f(x) and g(x), you add their outputs: (f + g)(x) = f(x) + g(x).

Front

What is synthetic division?

Back

Synthetic division is a simplified form of polynomial long division used when dividing by a linear factor.

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that the remainder of the division of a polynomial f(x) by (x - k) is equal to f(k).

Front

What is the Factor Theorem?

Back

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

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

What is the difference between a monomial and a polynomial?

Back

A monomial is a single term, while a polynomial is a sum of two or more terms.