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.
The leading coefficient of the polynomial is 2.
The polynomial has three zeros.
The zeros of a polynomial can be found by setting the polynomial equal to zero and using various methods such as factoring, graphing, or the quadratic formula.
Yes, you can use the Rational Zero Theorem to find potential rational zeros of this polynomial. However, it is important to note that not all potential zeros will actually be zeros of the polynomial.
The possible rational zeros of this polynomial are ±1, ±3, ±9, and ±1/2, ±3/2, ±9/2, ±1/3, ±3/3, ±9/3, ±1/6, ±3/6, ±9/6.