Daily Archives: April 24, 2017

Math 10 week 10- Updated

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This week we learned how to factor polynomials. Factoring polynomials is almost like reversing the question.

Ex. 7x^2 -49

In this example, we want to remove the greatest common factor. We know that 7 goes into 49 7 times.

We can then move the 7 outside the brackets and divide 49 by 7. This looks like this: 7( x^2 -7)

Now, to make sure it is correct, we can expand the polynomial by multiplying all the values in the brackets by 7. This will give us 7x^2 -49 (the original question!)

Math 10 week 9

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This week we worked with polynomials and expanding them. There are different methods you can use when multiplying binomials such as using the claw, area models and illustrating algebra tile diagrams. At first, I enjoyed using Algebra tile diagrams but now, I find the claw strategy much more efficient.

Ex. (x+6)(x+2)

1.x⋅x= x^2

2. x⋅2=2x and x⋅6= 6x this equals 8x

3. 6⋅2=12

Then, you add everything together. x^2 + 8x+12