The zeroes of the polynomial functions are listed below:
- Roots: 2, 3, - 1.
- Roots: 3, - 2 (multiplicity 2), 1
- Roots: 0 (multiplicity 3), 2, - 3.
How to determine the zeros of a polynomial
Polynomials are algebraic constructions whose form is summarized by the following sum:
p(x) = ∑ cₙ · xⁿ, for n ∈ {0, 1, ..., m}
An alternative form to describe polynomials is using products of binomials of the form (x - r), where r is a root (zero) of the polynomial. The root of the polynomial is a value such that the result of the expression is equal to zero.
Then, we proceed to find the zeros of each polynomial function:
1) f(x) = 2 · x · (3 - x) · (x + 1). Roots: 2, 3, - 1.
2) f(x) = 2 · (x - 3) · (x + 2)² · (x - 1). Roots: 3, - 2 (multiplicity 2), 1
3) f(x) = x³ · (x - 2) · (x + 3). Roots: 0 (multiplicity 3), 2, - 3.
To learn more on polynomials: https://brainly.com/question/20121808
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