The area of a rectangular garden is given by the trinomial . 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.
Let's say the trinomial is expressed as \(x^2 + 7x + 10\).
To factor this trinomial, we need to find two numbers that multiply to \(10\) (the constant term) and add up to \(7\) (the coefficient of the middle term).
The numbers that fit these criteria are \(5\) and \(2\), because \(5 \times 2 = 10\) and \(5 + 2 = 7\).
So, we can factor the trinomial as \((x + 5)(x + 2)\).
This means one possible set of dimensions for the rectangle is \(x + 5\) units by \(x + 2\) units.