Polynomial Operations Review

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial arranges the terms by degree in descending numerical order.

Front

Find the product: (5n-8)(5n+8)

Back

25n^2-64

Front

Simplify: (3x + 4)(2x - 5)

Back

6x^2 - 7x - 20

Front

Which is equivalent to the expression: (22x^2 + 3x - 10) - (13x^2 + 6x - 5)?

Back

9x^2 - 3x - 5

Front

Which expression is equivalent to: 4x^3y(-2x^3y^2 + 4x^2y)?

Back

-8x^6y^3 + 16x^5y^2

Front

Define a polynomial.

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and 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 polynomial.

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 does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors.

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.