please help irrational roots of polynomials

nic1211 · #1 $Old$ November 13th, 2008, 07:13 PM

Show that the following equation has at least one real root between the specified numbers. Find one real root. Use your calculator to help solve this problem. Give your answer correct to 2 decimal places.
f(x) = 32x3 + 12 = 63x2 + 41x; -1 and 0
i am stuck please help

skeeter · #2 $Old$ November 13th, 2008, 07:39 PM

Quote:

f(x) = 32x3 + 12 = 63x2 + 41x

this is what you want to graph ...

$f(x) = 32x^3 - 63x^2 - 41x + 12$

part 1 ...

use your calculator to evaluate ...

f(-1) = ?

f(0) = ?

what does the Intermediate Value Theorem say about this situation?

part 2 ...

graph the function f(x) in your graphing calculator.

use the root finding capability of the calculator to calculate the value of the function zero that exists between x = -1 and x = 0.