Polynomial Operations Quiz

A term is a single mathematical expression that is made up of a constant that is either alone or multiplied by one or more variables.

A polynomial is a mathematical expression of two or more terms that are connected with addition or subtraction.

Polynomials can be added or subtracted by putting them in the right order, applying the addition or subtraction signs, and then combining them. Like terms can be combined to simplify the polynomial.

Like terms are pairs of numbers or pairs of terms that have the same variables, with the same exponent on each variable.

When a polynomial is subtracted, the minus sign in front of the second polynomial changes all of the signs inside the polynomial. It is like multiplying the polynomial by -1.

When multiplying polynomials, each term in the first polynomial has to be multiplied by each term in the second polynomial, in accordance with the Distributive Property. Each multiplication creates a new term, after which any like terms can be combined.

The FOIL method is used to multiply binomials.

FOIL stands for 'First, Outside, Inside, Last.'

When two binomials are multiplied using the FOIL method, the terms in the 'First' and 'Last' positions are multiplied together, as well as the terms in the 'Outside' and 'Inside' positions.

The result is a polynomial with four terms.