MULTIPLY POLYNOMIALS

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication. For example, 3x^2 + 2x - 5 is a polynomial.

Front

What does it mean to multiply polynomials?

Back

Multiplying polynomials involves using the distributive property to combine each term in one polynomial with each term in another polynomial.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by each term in a polynomial.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest exponent of the variable in the expression. For example, in 4x^3 + 2x^2 - x, the degree is 3.

Front

How do you multiply a binomial by a trinomial?

Back

To multiply a binomial by a trinomial, use the distributive property to multiply each term in the binomial by each term in the trinomial, then combine like terms.

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as x + 5 or 3x^2 - 2.

Front

What is a trinomial?

Back

A trinomial is a polynomial that contains exactly three terms, such as x^2 + 3x + 2.

Front

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

Back

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

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)^2 is equal to a^2 + 2ab + b^2.

Front

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

Back

The result is x^2 - 1.