Polynomials Test 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 is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees.

Front

How do you multiply polynomials?

Back

To multiply polynomials, use the distributive property (FOIL for binomials) to multiply each term in one polynomial by each term in the other.

Front

What is the result of multiplying -x^3(9x^4 - 2x^3 + 7)?

Back

-9x^7 + 2x^6 - 7x^3.

Front

What is the formula for the square of a binomial (a - b)^2?

Back

(a - b)^2 = a^2 - 2ab + b^2.

Front

What is the result of (3x - 2)^2?

Back

9x^2 - 12x + 4.

Front

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

Back

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial.

Front

What is the result of dividing 15x^9 - 8x^3 by 3x^6?

Back

5x^3 - rac{8}{3}x^{-3}.

Front

What is the sum of two polynomials?

Back

To add two polynomials, combine like terms by adding their coefficients.