Using the factor theorem, it is found that the polynomial is:

Given by the first option
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Given a polynomial f(x), this polynomial has roots
using the factor theorem it can be written as:
, in which a is the leading coefficient.
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In this question:



- By the options, leading coefficient

Thus:



Which is the polynomial.
A similar problem is given that: brainly.com/question/4786502
Answer:

Step-by-step explanation:
Answer:8/3x
Step-by-step explanation:tell if this didnt work
Step-by-step explanation:
9x^3+6x^2-3x
Cannot be simplified because there are no like terms but can be factored as
=3x(3x−1)(x+1)
The zeroes of the given polynomial is 1 and -6.
<h3>What is Polynomials?</h3>
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Here, given equation;
f(x) = (x - 1)(x + 6)
for finding the zeros of the equation we need to put.....f(x) = 0
0 = (x - 1)(x + 6)
x - 1 = 0 or x + 6 = 0
x = 1 or x = -6
Thus, The zeroes of the given polynomial is 1 and -6.
Learn more about Polynomials from:
brainly.com/question/17822016
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