The polynomial function will be written as ( x³ - 6x² - x + 6 ).
What is a polynomial?
A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
From the given zeroes values x=-1,-1,6 the polynomials will be calculated as:-
Let the polynomial is represented by P.
P = (x-1) (x - (-1)) (x-6)
P = (x-1)(x+1)(x-6)
Multiply the first two factors and solve them further.
P = (x²-1)(x-6)
Again multiply the next factor to get the polynomial.
P = x²(x) - 6 x² - x + 6
Simplify the entire polynomial to get the standard polynomial function.
P = x³- 6 x² - x + 6
Therefore, the polynomial function will be written as ( x³ - 6x² - x + 6 ).
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