AmberlyKhan
  • AmberlyKhan
The area of a rectangle is represented by the polynomial x^2 + 3x - 6x - 18. Find the possible expressions for the length and width of the rectangle.
Mathematics
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SOLVED
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katieb
  • katieb
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welshfella
  • welshfella
x^2 + 3x - 6x - 18 = x^2 - 3x - 18 you now need to factor the above
welshfella
  • welshfella
oh - silly me its easier to factor in its original form you can factor that by grouping the first 2 and last 2 terms
AmberlyKhan
  • AmberlyKhan
How do you find the length and width expressions after that?

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More answers

welshfella
  • welshfella
x^2 + 3x - 6x - 18 = x(x + 3) - 6x - 18 can you find the factors of the last 2 terms?
AmberlyKhan
  • AmberlyKhan
6.
AmberlyKhan
  • AmberlyKhan
So it would be -6(x - 3).
welshfella
  • welshfella
Hint;- its -6 and another expression in paremteses
AmberlyKhan
  • AmberlyKhan
+3
welshfella
  • welshfella
right -6(x+ 3) now we have x(x +3) - 6(x + 3) can you continue?
AmberlyKhan
  • AmberlyKhan
I don't know what to do.
welshfella
  • welshfella
you can simplify this further Note that (x +3) is common to the 2 'halves' of the expression
welshfella
  • welshfella
sorry but i have to go right now
AmberlyKhan
  • AmberlyKhan
Oh, I got it. It would be written as (x - 6)(x + 3), which represents the length x the width. Thanks!

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