Question

What are the possible values of b for the following values of c, for x^2 +bx + c if > 0?

Answer 1

Answer:

If c is greater than 0, than b can be all real numbers that do not equal 0.

Step-by-step explanation:

When looking at the value of c, we know that two factors of c always add up to create b. However, if c is positive, it gives us no indication of the size or sign of the factors and therefore b. Take the example of c = 100. In this instance, b could be -20 or 20. This is because factors of 100 can be -10/-10 or 10/10. We can do this with increasingly larger number, which allows us to assume that b can be both infinitely high or infinitely low.