The discussion focuses on finding the zeros of the polynomial P(x) = 2x^3 - 8x^2 + 9x - 9. Participants emphasize the importance of utilizing the Rational Root Theorem to identify potential rational roots. The conversation highlights the need for understanding both real and imaginary factors in cubic polynomials. Ultimately, the discussion concludes that a systematic approach using established mathematical tools is essential for solving cubic equations effectively.
PREREQUISITESStudents studying algebra, mathematics educators, and anyone seeking to improve their skills in polynomial factorization and root finding.
That answer is not likely to get you many points. If you're being asked to factor cubics, you probably have been presented some tools to help you, such as the Rational Root Theorem.xskull said:Homework Statement
Find all zeros of the polynomial:
P(x)=2x^3 - 8x^2 + 9x - 9
Homework Equations
The Attempt at a Solution
I am unsure how to get the factors of this polynomial therefore my answer is that there are no factors.
xskull said:Though, I do not know how to get the imaginary factors on a polynomial with three as it's highest degree.