Operations with Polynomials

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 does it mean for a polynomial to be in standard form?

Back

A polynomial is in standard form when its terms are arranged in descending order of their degrees.

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

How do you add polynomials?

Back

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

Front

How do you subtract polynomials?

Back

To subtract polynomials, change the signs of the terms in the polynomial being subtracted and then combine like terms.

Front

What is the area of a rectangle?

Back

The area of a rectangle is calculated by multiplying its length by its width.

Front

How do you multiply two binomials?

Back

To multiply two binomials, use the distributive property (FOIL method) to multiply each term in the first binomial by each term in the second binomial.

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 product of (a + b)(a - b)?

Back

The product is a^2 - b^2, known as the difference of squares.

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