Question

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

Answer 1

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.