Please see the attached file for the complete solution.
Thanks for using BrainMass.

1. P(x) = 2x4 + 15x3 + 17x2 + 3x - 1. Find all real zeros.
By observation, x = -1 is a zero. Therefore, x + 1 is a factor of P(x).
Therefore, P(x) = 2x4 + 15x3 + 17x2 + 3x - 1
= 2x3(x + 1) + 13x2(x + 1) + 4x(x + 1) - (x + 1)
= (x + 1)(2x3 + 13x2 + 4x - 1)
By observation, x = -0.5 is a solution of (2x3 + 13x2 + 4x - 1), therefore, (2x + 1) is a factor of (2x3 + 13x2 + 4x - 1)
Therefore, P(x) = (x + 1)(2x3 + 13x2 + 4x - 1)
= (x + 1)[(x2(2x + 1) + 6x(2x + 1) - (2x + 1)]
= (2x + 1)(x + 1)(x2 + 6x - 1)
Therefore, the zero are x = -0.5, -1 and ...

Solution Summary

Real zeros of polynomials are found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

... must draw the lines at angles defined by ± Cos (ξ ) = ±Cos (0.5) = ±60 0 with the negative real axis and starting at the origin and find their intersection ...

... of the equation Ax^2+Bx+C=0 are real? 2) If X is uniformly distributed over (0,1) and Y is exponentially distributed with parameter 1, find the distribution of ...

... greater than zero, then its IRR must be less than zero. ... value (PV), then discounting the TV to find the IRR. ... cash flows, then it will have exactly two real IRRs ...

...Find the sales in units to achieve a profit of $20,000, assuming no change in selling price. ISBN: 0-536- McConnell & Brue text - Ch. ... Compute real GDP. ...

... In this mini-sample, Lisa found a mean home value ...REAL ESTATE DATA Price = Selling price in $000 Bedrooms = Number ... House square feet Pool 1=yes, 0=no Distance ...

... points on the imaginary axis can then be found by solving ... is a root or roots that have positive real parts which ... 1. Locate the poles and zeros of g ( s ) on ...

... One of its disadvantages is the need to find the derivative of the ... If, however, only real root are required then this expression is set to 0. For this run ...

... target will help to foster a real sense of ... Auxiliary Funds Funds Funds Total Funds Funds Funds Total Personnel ... $0 $0 $0 $0 $0 Staff 172,900 0 0 172,900 226,600 ...

... growth, usually monitored by rates of change in real gross domestic ... rates lower and reducing the cost of capital funds to businesses. ... ISBN: 0-536-18213-2. ...

... Theorem 1 Let T be a linear operator on a finite-dimensional real inner product space V. Then T is self-adjoint if ... For , I found eigenvectors (-1,1,0) and (-1 ...