jadenbradish jadenbradish
  • 18-06-2018
  • Mathematics
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What is the simplified form of the quantity 4 z squared plus 16z plus 15 over the quantity 2 z squared minus z minus 15?

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Luv2Teach
Luv2Teach Luv2Teach
  • 18-06-2018
Because both of those expressions are second degree polynomials, you are going to get a whole number with a remainder.  Since 2 goes into 4 twice, our whole number is 2.  If we do the multiplication and subsequent subtraction, we have a remainder of 18z + 45.  So our simplification, if you can call it that (it's really not that simple) is [tex]2R \frac{18z+45}{2 z^{2}-z-15 } [/tex]
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