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https://math.answers.com/other-math/How_do_you_determine_the_number_of_real_roots_in_a_polynomial

How do you determine the number of real roots in a polynomial? - Answers

For a general polynominal, the cubic, quartic, and greater formulæ are too hellishly hard to work with, so you would need to plot the function or use Newton's/somesuch method to count the real roots by hand. If the polynomial has integral roots, you can use synthetic division to peel off the degrees to see if they factor wholely into binominals; then all roots will be real and explicit. Good luck:



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How do you determine the number of real roots in a polynomial? - Answers

https://math.answers.com/other-math/How_do_you_determine_the_number_of_real_roots_in_a_polynomial

For a general polynominal, the cubic, quartic, and greater formulæ are too hellishly hard to work with, so you would need to plot the function or use Newton's/somesuch method to count the real roots by hand. If the polynomial has integral roots, you can use synthetic division to peel off the degrees to see if they factor wholely into binominals; then all roots will be real and explicit. Good luck:



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https://math.answers.com/other-math/How_do_you_determine_the_number_of_real_roots_in_a_polynomial

How do you determine the number of real roots in a polynomial? - Answers

For a general polynominal, the cubic, quartic, and greater formulæ are too hellishly hard to work with, so you would need to plot the function or use Newton's/somesuch method to count the real roots by hand. If the polynomial has integral roots, you can use synthetic division to peel off the degrees to see if they factor wholely into binominals; then all roots will be real and explicit. Good luck:

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      For a general polynominal, the cubic, quartic, and greater formulæ are too hellishly hard to work with, so you would need to plot the function or use Newton's/somesuch method to count the real roots by hand. If the polynomial has integral roots, you can use synthetic division to peel off the degrees to see if they factor wholely into binominals; then all roots will be real and explicit. Good luck:

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