SOLUTION: Locate the zeroes of each polynomial function.
a. (x)= x³-4x²-9x+3
b. (x)= 2x³-x-4
c. (x)= x³-7x²+5x+1
d. (x)= x⁴-8x³+54x+105
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-> SOLUTION: Locate the zeroes of each polynomial function.
a. (x)= x³-4x²-9x+3
b. (x)= 2x³-x-4
c. (x)= x³-7x²+5x+1
d. (x)= x⁴-8x³+54x+105
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Question 1188667: Locate the zeroes of each polynomial function.
a. (x)= x³-4x²-9x+3
b. (x)= 2x³-x-4
c. (x)= x³-7x²+5x+1
d. (x)= x⁴-8x³+54x+105 Found 2 solutions by greenestamps, ikleyn:Answer by greenestamps(13200) (Show Source):
Use a graphing calculator. You can do that as easily as we can.
I looked at each of these using a graphing calculator, and most of the roots are irrational, so they are difficult or impossible to find algebraically. So by far the simplest way to find the APPROXIMATE DECIMAL roots is with a graphing calculator.
If you are supposed to use some different method, such as Newton's method, then re-post the problem stating what method is to be used.
(a) The roots of the polynomial x^3 - 4x^2 - 9x + 3 are
= 0.29703...
= −1.82654...
= 5.52951...
Explanation:
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using cubic formulas.
