Multiply 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 combine like terms in a polynomial?

Back

Combining like terms means to simplify a polynomial by adding or subtracting terms that have the same variable raised to the same power.

Front

What is standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their exponents.

Front

How do you multiply a monomial by a polynomial?

Back

To multiply a monomial by a polynomial, distribute the monomial to each term of the polynomial.

Front

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

Back

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

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

How do you multiply two binomials?

Back

To multiply two binomials, use the distributive property (FOIL method): First, Outer, Inner, Last.

Front

What is the result of multiplying (2x - 1)(x + 3)?

Back

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

Front

What is the area of a rectangle expressed in terms of x if the length is (2x + 3) and the width is (4x + 2)?

Back

The area is 8x^2 + 28x + 6.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means to express it as a product of its factors, which can be simpler polynomials.