Polynomial Questions - Please help :) (1 Viewer)

[frontin]

Could somebody please help me on the following questions and show me how they are done through working,

I'm not exactly the brightest ext. maths student Thanks heaps.


Questions

1. Given two roots of 2x^3 - kx^2 + 8 = 0 are equal, find k.

2. The product of two roots of the equation 2x^3 - kx^2 - 8x + 4 = 0 is 1. Find the value of k.

3. If x^3 - 8x^2 + kx - 12 = 0 has one root equal to the sum of the other two, find the value of k.

4. Given that the equation 2x^3 - x^2 - 13x - 6 = 0 has two roots whose product is unity, solve the equation.

Answers

1. k = 6

2. k = 1

3. k = 19

4. x = -1/2, -2 or 3

Once again, thank you for your help.

 

[ssglain]

I saw your post in the Prelim forum. I posted the full solutions & explanations there, if you need them.