Use the intermediate value theorem to show that the polynomial f(x)=x^3+x^2-2x+5 has a real zero between -3 and -1.

You need to note first two things.

1. The function f(x) need to be a continuous function on [-3,-1] (indeed f(x) is a polynomial function, is continuous on every real number x)

2. Take the closed interval [-3,-1]

Now, evaluate f(-3) and f(-1).

So, we have f(-3) < 0  and f(-1). So,  , then by the Intermediate Value Theorem, there exist such that .

step-by-step explanation:

ou would have 12 of each