Polynomial review

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 are the zeros of a polynomial?

Back

The zeros of a polynomial are the values of the variable that make the polynomial equal to zero.

Front

How do you factor a polynomial?

Back

Factoring a polynomial involves expressing it as a product of its factors, which can include numbers, variables, or other polynomials.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

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 many terms are in the polynomial 3x^2 + 2x - 5?

Back

There are 3 terms in the polynomial: 3x^2, 2x, and -5.

Front

What is the factored form of x^2 - 9?

Back

The factored form is (x - 3)(x + 3).

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a polynomial with only one term, while a polynomial can have multiple terms.

Front

What is synthetic division?

Back

Synthetic division is a simplified method of dividing a polynomial by a linear binomial.