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 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 written in descending order of the degree of its terms.

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, allowing you to multiply a single term by each term in a sum.

Front

How do you square a binomial?

Back

To square a binomial (a + b)^2, use the formula: (a + b)^2 = a^2 + 2ab + b^2.

Front

What is the product of (a + b)(c + d)?

Back

The product is ac + ad + bc + bd, obtained by distributing each term in the first binomial to each term in the second.

Front

What is the result of multiplying a monomial by a polynomial?

Back

Multiply the monomial by each term in the polynomial, distributing the monomial across all terms.

Front

What is the product of two monomials?

Back

The product of two monomials is found by multiplying their coefficients and adding their exponents for like bases.

Front

How do you simplify the expression 2(3g - 4) - (8g + 3)?

Back

Distribute and combine like terms to get -2g - 11.