Answer :
Final answer:
To find the roots of the polynomial f(x)=x⁵+3x⁴-4x³+59x²-75x+35, write the polynomial in descending order and use the Roots command in a calculator or mathematical software.
Explanation:
To find the roots of a polynomial, we need to solve the equation f(x) = 0. In this case, the polynomial is f(x) = x⁵+3x⁴-4x³+59x²-75x+35. To find the roots, we can use the Roots command.
- Write the polynomial in descending order.
- Use the Roots command in your calculator or mathematical software to find the roots of the polynomial.
In this case, the roots of the polynomial are -7, -1, -1, 1, and 5.
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