Question

Create a unique example of dividing a polynomial by a monomial and provide the simplified form. Explain, in complete sentences, the two ways used to simplify this expression and how you would check your quotient for accuracy.

Answer 1

Let's do a very basic one. But, first, you need to know what a monomial is. Monomial is an algebraic expression that has only one + or - sign. A polynomial is an expression that has equal to or more than 3 + or - signs.

Answer 2

So, a basic approach to answering this question is:


\(\Large \color{MidnightBlue}{\Rightarrow (5x + 9x + 16x) \div x }\)

Answer 3

We may use factoring OR long division in the question.

Answer 4

For checking, we can multiply the divisor by the quotient and check if we get the dividend.