Question 1014000: 4.6
The following function is given.
f(x)=x^3 -5x^2 -9x+45
a. List all rational zeros that are possible according to the Rational Zero Theorem:
b. Use synthetic division to test several possible rational zeros in order to identify one actual zero
One rational zero of the given function is:
c. Use the zero from part (b) to find all the zeros of the polynomial function
The zeros of the function f(x)=x^3-5x^2 -9x+45 is:
a. I got 1,3,5,9,15,45
b. I got -3
c. I got -3,3,5
Is this correct?
Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235)   (Show Source):
Answer by ikleyn(52814)  (Show Source):
You can put this solution on YOUR website! .
In n.a) you should consider and check not only positive integer divisors ot the constant term (45 in this case),
but negative integer divisors too: -1, -3, -5, -9, -15,- 45.
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