Adding, Subtracting, & Multiplying 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 does it mean to add polynomials?

Back

Adding polynomials involves combining like terms from two or more polynomial expressions to form a new polynomial.

Front

What does it mean to subtract polynomials?

Back

Subtracting polynomials involves taking the difference between two polynomial expressions by combining like terms after distributing the negative sign.

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 identify like terms in polynomials?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x^2 and 5x^2 are like terms.

Front

What is the result of adding (2x^2 + 3x) and (4x^2 + 5)?

Back

The result is 6x^2 + 3x + 5.

Front

What is the result of subtracting (5x^2 + 2x) from (3x^2 + 4x)?

Back

The result is -2x^2 + 2x.

Front

What is the distributive property in multiplication of polynomials?

Back

The distributive property states that a(b + c) = ab + ac, which is used to multiply a polynomial by another polynomial.

Front

Multiply: (x + 2)(x + 3).

Back

The result is x^2 + 5x + 6.

Front

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

Back

The result is 6x^3.