iYuko
  • iYuko
Introduction to Factoring! Come Learn with Me! Lesson 1
Mathematics
  • Stacey Warren - Expert brainly.com
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katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
iYuko
  • iYuko
Recall that when 2 or more numbers, variables, or algebraic expressions are multiplied, each is called a factor When you are asked to factor a number or a algebraic expression, you are being asked, "What, when multiplied, will give you that number or expression?" For example, you can factor 6 as 3*2 since 3*2=6. You can factor 15x^5 as 3x^2 * 5x^3 since 3x^2 * 5x^3 =15x^5. Factoring is simply the reverse of multiplying. 6 and 15x^5 are simple expressions to factor and can be factored in many ways. The factors of the polynomial \[2x ^{3}+x-12\] are not east to recognize In this tutorial we will be learning the techniques to find the factors of a polynomial. We will begin with simple factoring. When we factor, we are looking for the largest common factor. For example, in the polynomial 48x-16y, a common factor is 2. We could factor 48-16y as 2(24-8y). However, this is not complete. To factor 48-16y completely, we look for the greatest common factor of 48 and 16. 48-16y= 16(3x-y)
iYuko
  • iYuko
Common factors of a polynomial 1. You can determine the numerical common factor by asking, "What is the largest integer that will divide into the coefficient of each term?" 2. You can determine the variable common factor by asking, "What variables are common to each term, and what is the largest exponent of those variables that is common?"
iYuko
  • iYuko
Lets try an example: Factor. \[8x ^{3}y+16x ^{2} y ^{2}+24x ^{3} y ^{3}\] We see that 8 is the largest integer that will divide equally into the 3 numerical coefficients. We can factor x2 out of each term (not just x). For the other variable we factor y out of each term. \[8x ^{3} y+16x ^{2} y ^{2}+24x ^{3} y ^{3}=8x ^{2} y(x+2y+3yx ^{2})\] To check this you multiply the factors you obtain. The result should be the same as the original polynomial.

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More answers

TheSmartOne
  • TheSmartOne
Now I know how to factor! :D Thanks :)
anonymous
  • anonymous
Wow great job! @iYuko
anonymous
  • anonymous
nice job
iYuko
  • iYuko
Thanks @TheSmartOne @Tom_Boy_Rebel @peak
AlexandervonHumboldt2
  • AlexandervonHumboldt2
nice job :)
anonymous
  • anonymous
help me Point A is located at negative 7 over 10 and point B is located at negative 2 over 10. What is the distance between points A and B?
iYuko
  • iYuko
Thank you. I made this a long time ago, I thought I should re post it.
iYuko
  • iYuko
I'm bout to re post another.
iYuko
  • iYuko
anonymous
  • anonymous
thanks
TheSmartOne
  • TheSmartOne
Are you just re-posting to get more medals? :P
TheSmartOne
  • TheSmartOne
Uhh wait, of course!
iYuko
  • iYuko
Well, duh! Plus people need help on it ;)
iYuko
  • iYuko
It's a great tutorial. People need to know how to do it.

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