Question

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

Answer 1

• 3m + 2 and m - 3

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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