Polynomial Operations

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting 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 product of (a-b)(a+b)?

Back

The product is a² - b², known as the difference of squares.

Front

How do you add polynomials?

Back

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

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the result of (x + 2) + (3x + 4)?

Back

The result is 4x + 6.

Front

What is the difference of two polynomials?

Back

The difference is found by subtracting the coefficients of like terms from each other.

Front

What is the product of (3x - 4)(2x + 5)?

Back

The product is 6x² + 15x - 8.

Front

What is the formula for multiplying two binomials?

Back

The formula is (a + b)(c + d) = ac + ad + bc + bd.

Front

What is the result of (5n - 8)(5n + 8)?

Back

The result is 25n² - 64.