Operations with Polynomials

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

What does it mean to add polynomials?

Back

Adding polynomials involves combining like terms, which are terms that have the same variable raised to the same power.

Front

What does it mean to subtract polynomials?

Back

Subtracting polynomials involves changing the signs of the terms in the polynomial being subtracted and then combining like terms.

Front

What is the product of two binomials?

Back

The product of two binomials can be found using the distributive property or the FOIL method (First, Outside, Inside, Last).

Front

What is the FOIL method?

Back

The FOIL method is a technique for multiplying two binomials by multiplying the First terms, the Outside terms, the Inside terms, and the Last terms.

Front

What is the result of multiplying (2x + 5)(2x + 5)?

Back

The result is 4x² + 20x + 25.

Front

What is the result of multiplying (2x)(3x)?

Back

The result is 6x².

Front

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

Back

The result is 2x + 5.