Polynomial Operations Quiz

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Questions and Answers

What is a term in mathematics?

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.

Define a polynomial.

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

How can polynomials be added or subtracted?

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.

What are like terms?

Like terms are pairs of numbers or pairs of terms that have the same variables, with the same exponent on each variable. Signup and view all the answers

What happens when a polynomial is subtracted?

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. Signup and view all the answers

Explain the process of multiplying polynomials.

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. Signup and view all the answers

What is the FOIL method used for?

The FOIL method is used to multiply binomials. Signup and view all the answers

What does FOIL stand for?

FOIL stands for 'First, Outside, Inside, Last.' Signup and view all the answers

How are binomials multiplied using the FOIL method?

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. Signup and view all the answers