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A rectangular garden has an area of 3m^2-7m-6
Do and answer: factor the trinomial to determine the expression that give the dimensions (length and width) of the garden


Sagot :

Answer:

  • 3m + 2 and m - 3

===========================

Area of rectangle:

  • A = wl

The expression for the area:

  • 3m² - 7m - 6

Factor it as following:

  • 3m² - 7m - 6 =
  • 3m² - 9m + 2m - 6 =
  • 3m(m - 3) + 2(m - 3) =
  • (3m + 2)(m - 3)

The dimensions of the rectangle are the factors of the expression:

  • 3m + 2 and
  • m - 3