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1. Find the cubic equation whose roots are twice those of the equation 3x^3 - 2x^2 + 1 = 0 2. Find two values of m such that the roots of the equation x^3 + 2x^2 + mx - 16 = 0 are a, b, ab. Use these values of m to find a and b

some more questions: 1. Find the cubic equation whose roots are twice those of the equation 3x^3 - 2x^2 + 1 = 0 2. Find two values of m such that the roots of the equation x^3 + 2x^2 + mx - 16 = 0 are a, b, ab. Use these values of m to find a and b

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Solve the equation 4x^3 + 32x^2 + 79x + 60 = 0 given that one root is equal to the sum of the other two. How do i do this without using Factor R on Factor S?

Solve the equation 4x^3 + 32x^2 + 79x + 60 = 0 given that one root is equal to the sum of the other two Is there another way to do it without using factor R on Factor S?

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Another one i am unsure of: If a and b are roots of the equation x^2 + mx + n = 0, find the roots of nx^2 + (2n - m^2)x + n = 0 in terms of a and b.

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I have no idea how to do this question: If a and b are roots of the equation x^2 + 8x - 5 = 0, find the equation whose roots are a/b and b/a without finding a and b. I have to form a new equation to do this (ax^2 + bx + c = 0)

If a and b are roots of the equation x^2 + 8x -5=0, find the quadratic equation whose roots are a/b and b/a

Re: HSC 2017 Maths (Advanced) Marathon Show that x^3 - 8 has only one linear factor over the real number field, What is the real number field?

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When the polynomial ax^4 + bx^3 + x^2 + 4x + 2 iis divided by 2x^2 + 2x - 1 the remainder is (2x + 3), find the values of a and b

How do you make the two simultaneous equations?