The quadratic expressions x^2+5x-14 and 49-x^2 share a common binomial factor. What binomial factor do they share?
I don't quite understand this. Can someone please provide the answer and the steps to getting the answer?
x^2+5x-14 and 49-x^2
First....let's factor both of these
x^2 + 5x - 14 = (x +7)(x - 2)
x^2 - 49 = (x + 7) (x -7)
The binomial factor they share is (x + 7) [ "bi" means two.....as in "two terms" ]
So...a "binomial" factor is a factor with two terms....