Polynomials

Some info:

This week in math 10 we started a new unit on Polynomials. We focused a lot on the basics of polynomials, which are a lot of the materials we learnt in grade 9.

We went back to looking into what a polynomials are made of (a polynomial is made up of variables, terms and degrees.)

Terms: The amount of terms decide what kind of polynomial it is. Terms are separated by – or +. If an expression has 1 term it’s considered a monomial. 2 terms is binomial, 3 terms is trinomial.

Degrees: Each variable has an exponent whether it’s visible or not (no exponent is = to 1.) Finding the degree of a monomial you add the exponents together, however if the there is more than one term you look at all the exponents than you take the biggest exponent and that becomes your degree.

Multiplying and Dividing Polynomials

Using models you can easily solve the equations given. The model will be generated by quadrilaterals to generally form an upside down L, which you’ll later turn into a rectangle by drawing lines down and across. (The larger rectangle represents , a rectangle represents x and a smaller square represents a constant. And if there are more then one of the same shapes you add a coefficient. If the shapes are coloured it’s positive and if it’s not it’s negative.) To make the model you take the first part of the equation and that becomes the length of the equation, the second part becomes the width. The answer of the equation will be found by the rest of the shapes that didn’t form the upside down L.