Question

When multiplying polynomials we use the _______ _______

Answer 1

`\large\boxed{\textsf{When multiplying polynomials, we should use the \underline{\bf{Distributive Property}}.}}`

Explanation:

`\textsf{We are asked what method we should use for multiplying polynomials.}`

`\large\underline{\textsf{What are Polynomials?}}`

`\textsf{Polynomials are expressions that consist of 1 or more terms. Think of polynomials}`

`\textsf{as your everyday expressions that you may see.}`

`\large\underline{\textsf{How to Multiply Polynomials?}}`

`\textsf{When multiplying polynomials, which consist of 1 or more terms, it's important to}`

`\textsf{multiply every term in the equation with every term in the other equation. This}`

`\textsf{process is called the \underline{Distributive Property}.}`

`\large\underline{\textsf{What is the Distributive Property?}}`

`\boxed{\begin{minipage}{25 em} \\ \underline{\textsf{\large Distributive Property;}} \\ \\ \textsf{A property that allows us to multiply the term to the left of the parentheses into the terms inside the parentheses. Remember that Distributive Property applies with any expression that multiplies with an expression that contains 2 or more terms.} \\ \\ \underline{\textsf{\large Example;}} \\ \tt a(b+c)=ab+ac \\ \textsf{Per this example, a will multiply with the terms b and c.}\end{minipage}}`

`\textsf{Note that Distributive Property applies with any expressions multiplying together.}`

`\textsf{This can be an expression with 3 terms multiplied with an expression with only 2.}`

`\textsf{In a case where we're multiply expressions with 2 or more terms, we will need to}`

`\textsf{use the FOIL method, which tells us in detail how to multiply 2 by 2 term}`

`\textsf{expressions. However we can use the same idea to multiply expressions that have}`

`\textsf{more terms.}`

`\large\underline{\textsf{Hence;}}`

`\large\boxed{\textsf{When multiplying polynomials, we should use the \underline{\bf{Distributive Property}}.}}`