Day: May 3, 2016

Patterns in Polynomials

There are 3 patterns that can be found in polynomials:

  1. Multiply 2 Binomials

First term = multiply both terms together – x^2

second term = sum of last two terms together – 7x

 

third term = multiply both terms together – 12

this saves you time from double distributing and allows you to solve it quicker.

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2. Multiplying Conjugates

Ex. (x-2)(x+2)

 

Here is algebra tiles to show you how it works.

We can multiply the first term and last term to get the answer.

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If you look at the algebra tiles, the negative x and positive x cancels each other out and you are left with x^2 – 4

3. Perfect Square

If there is a question like x^2-25, it would be easy to solve as we know that since 25 is a perfect square we can find the square root, which is 5, and multiply it twice because we are just splitting the numbers. Therefore, (x-5)(x+5) is the factored form of x^2-25 by using perfect squares.

 

Week 9 – Math 10

I did not understand how to factor polynomials at first but I learnt that it is actually very easy.

week 9

First, I have to find the GCF. I made a venn diagram and to find the GCF of the two terms.

Then, I would divide the GCF to both terms. I would write the GCF as the coefficient and put the factored form in the brackets. To check, multiply the coefficient back into the equation to see if it matches up.