This week we looked at polynomials and multiplying them. Something that helped me work with polynomials is, the area diagram. It is basically an easier way to multiply 2 polynomials together visually.
An example would be, (2x – 4) (-3y +4):
When you multiply 2 polynomials together then you must use the distributive property as shown below (multiplying everything thing together):
And now if we expand the equation is should look like this:
2x(-3y) 2x(4) -4(-3y) -4(4)
Now your probably thinking that this looks very complicating but I can help, with the AREA DIAGRAM!
First you draw a square or rectangle and make it into 1/4’s:
Then on the length of the shape you would right the first polynomial, and the same on the height of the shape with the other polynomial like so:
Now, like you would making a times table, you multiply for each box!:
Now we add all of the sums IN the boxes to get our answer:
-6xy +12y + 8x -16
But if you ever end with an answer with like terms then add the like terms!!