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Suppose that b and d are real numbers and d /=/ (doesn't equal) 0. consider the polynomial P(z) = z^4 + bz^2 + d. For what values of b does P(z) have a double root equal to root 3i. anyone who has problems with polynomial questions are more than welcome to post here.

A long jumper left the ground at and angle of 15 degrees and jumped a distance of 7.0m. considering this result, calculate the velocity of the loing jumper when leaving the ground. please help. XD

Let P(x) = x^(n+1) - (n+1)x + n, where n is a positive integer. show that P(x) has a double zero at x = 1. (2008 4U HSC, Q5 b) )

P(2ap, ap^2) and Q(2aq, aq^2) are two points on the parabola x^2 = 4ay. The tangent at P and the line through Q parallel to the x axis of the parabola meet at point R. The tangent at Q and the line through P parallel to the axis of the parabola meet at point S. Show the co-ordinates of S and R...

just after launch an astronaut experiences an acceleration of 5g. two weeks earlier, at a fun park, the astronaut went around a 10m horizontal bend at 72kmh in a roller coaster. what is the ratio of the rocket launch to the acceleration at the fun park? help is greatly appreciated. =]

Given that a string (0.6m in length), can only sustain a mass of 10kg, find the fastest speed (in rpm) that the string can be rotated (in a horizontal circle) if the mass at the end is 0.2kg? (*g is specified as 9.8m/s^2) help is appreciated!!

having trouble getting the rpm - radians/sec process. someone help?

If a+b+c=0, show that (2a-b)^3 + (2b-c)^3 + (2c-a)^3 = 3(2a-b)(2b-c)(2c-a). please help.