calculus
posted by Brock .
Use the intermediate value theorm to show that the polynomial function has a zero in the given interval
f(x)=x^5x^4+8x^35x^214x5;[1.4;1.5]
find the value of f(1.4)
f(1.4)=
find the value of f(1.5)
f(1.5)=

I'll leave you to find f(x) for some x. A visit to the bottom of the page at
http://rechneronline.de/functiongraphs/
will allow you to enter your function and a list of values to evaluate.
Since you left out a + or  sign in 14x5, I'll not evaluate f(x), but you will surely find that f(1.4) and f(1.5) have opposite signs. So, the IVT says that there is a root in the interval.