Given P(x) = x^3 - 3x^2 - 5x
a.evaluate P9x) for each integer value of x from -3 through 5
b. Find all zeros of P(x)
d. Prove that 5 is an upper bound on the zeros of P(x)
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Given P(x) = x^3 - 3x^2 - 5x
a.evaluate P9x) for each integer value of x from -3 through 5
b. Find all zeros of P(x)
d. Prove that 5 is an upper bound on the zeros of P(x)
a. Do you expect us do this for you?
b. Part (a) gives you one zero; use polynomial long division to get a quadratic equation, which gives you the other two zeros.
c. Estimate the value of square roots from (b). E.g.,.
Do you not understand that this is integer arithmetic? Can you not multiply, add, and subtract integers?Quote:
Originally Posted by doctorbleachers
You can factor an "x" out to P(x) easily, leaving a quadratic term. Do you know the quadratic formula?Quote:
b. Find all zeros of P(x)
You just need an estimate of the square root that shows up in (b).Quote:
d. Prove that 5 is an upper bound on the zeros of P(x)
(What happened to (c)?)