anonymous
  • anonymous
what is the factor of this trinomial a2 + 4ab – 45b2?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
Because it is + then - we know it needs to be in the form ( a + b )( a - b )
anonymous
  • anonymous
I would first look at the coefficient of b^2 which as 45 and write down all the numbers when multiplied will give you 45.
anonymous
  • anonymous
Then look at these numbers and see which two when added will give you 4. And excuse my last post, I should have said find all the products that will give you -45

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anonymous
  • anonymous
Let me know if you are still stuck
anonymous
  • anonymous
@ChmE so you multiply all the products that equal to 45 and then add the two that will give you 4?
anonymous
  • anonymous
That is a thought process for solving it. 9,-5 -9,5 1,-45 -1,45 I think thats it. Then you think what numbers, when added will give me 4. you see 9,-5
anonymous
  • anonymous
and if you look at my first post, you see the form it needs to be is consistent with these numbers. So ( a + 9b ) ( a - 5b )
anonymous
  • anonymous
@chme thanks.

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