Week-6

During this week in Math10 we reviewed a bit of what we learned last year, polynomials. We started with some review then did some multiplying with polynomials and monomials. For the exponent part it’s kind of like the product law for when we were working with exponent laws, so I found it quite natural to do it. We also learned and reviewed some vocabulary. For example a monomial is an expression with only 1 term (3x) and a polynomial is an expression with 4 or more terms (3x³+ x² -5x+ 6).

Multiplying a polynomial by a monomial

Example #1:

For the first example let’s start with this equation: 6(7x-3), it’s kind of like the power law but just with the base numbers multiplying. 6 times 7x would just be 42x, then 6 times a negative 3 is negative 18. In the end we need to put the terms in order, from biggest to smallest. So it will look like this: 42x-18.

Example #2:

For our next example let’s start with: 3x(x²-3x+5), same as before we start by multiplying the one closest to ‘3x’ first. So firstly, 3x times x² is 3x³, next is 3x times negative 3x which is negative 9x² and lastly 3x times 5 is just 15x. When we put it in order from largest to smallest it would look like this: 3x³-9x²+15x.