The area of the rectangular Garden is given by the trinomial X to squared plus 6x - 27 what are the possible dimensions of the rectangle use factoring
To find the possible dimensions of the rectangle, we need to factor the given trinomial:
X^2 + 6X - 27
First, we need to find two numbers that multiply to -27 and add up to 6. The numbers that fit this criteria are 9 and -3.
Now, we can rewrite the trinomial as:
X^2 + 9X - 3X - 27
Now, we can factor by grouping. Factor out an X from the first two terms, and -3 from the last two terms:
X(X + 9) - 3(X + 9)
Factor out the common binomial:
(X - 3)(X + 9)
Therefore, the possible dimensions of the rectangle are 3 and -9. However, the negative dimension does not make sense in this context, so the possible dimensions are 3 and 9.