MATHS - Algebra - Dividing Polynomials with Monomials

The video tutorial explains how dividing a polynomial by an integer or expression is a form of simplification. It introduces three simple steps: rewriting the problem as a fraction, splitting it into parts, and simplifying each term. These steps apply to both integers and monomials. The tutorial also touches on dividing polynomials by binomials using long division, which is a different process. Viewers are encouraged to practice these steps to ensure understanding.

What is the first step in dividing a polynomial by an integer?

• Add the terms

• Multiply the terms

• Rewrite the expression as a fraction

• Simplify each term

When dividing 8a by 2, what is the result?

• 2a

• 6a

• 8a

• 4a

How does x to the 4 divided by x squared simplify?

• x to the 6

• x to the 2

• x squared

• x to the 8

What happens to x when x is divided by x squared?

• x becomes x squared

• x stays on the bottom

• x cancels out

• x remains on top

What method is used to divide polynomials by binomials?

• Addition

• Multiplication

• Long division

• Simplification