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James plants a rectangular garden with the area of x^2 -10x+9. If the length is x -1, what is the width?​

Sagot :

ChoiSungHyun

Step-by-step explanation:

We wish to find (x² - 10x + 9)/(x - 1).

x² - 10x + 9

= (x - 1)(Ax + B) = Ax² + (B - A)x - B

By Comparing Coefficients, we have:

  • A = 1,
  • B - A = -10,
  • -B = 9

Solving them we have A = 1, B = -9.

Therefore x² - 10x + 9 = (x - 1)(x - 9),

Width of Garden = (x - 9).

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