Question

The area of a rectangular table is given by the trinomial x^2+7x-30. What are the possible dimensions of the rectangle? Use factoring

Answer 1

A table will have a length and width, so the area will be just that, the product of those two factors, so in short, simply factor the area of x²+7x-30.

now, if we do a "prime factoring" of 30, we get 2*3*5, and we can mix them as 2*5 and 3, to get the factors of (x² + 10)(x²-3).