Multiplying Polynomials

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

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

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

To multiply two binomials, use the FOIL method: First, Outer, Inner, Last to combine the terms.

The FOIL method is a technique for multiplying two binomials, where you multiply the First terms, the Outer terms, the Inner terms, and the Last terms, then combine like terms.

A coefficient is a numerical factor in a term of a polynomial, representing how many times the variable is multiplied.

Like terms are terms that have the same variable raised to the same power, allowing them to be combined by addition or subtraction.

The degree of a polynomial is the highest power of the variable in the polynomial expression.

The leading coefficient is the coefficient of the term with the highest degree in the polynomial.

The result is x^2 + (a + b)x + ab, which is derived using the distributive property.