How to use the rational root theorem to find the roots of 8x^3-3x^2+5x+15?

Corbin Atkinson

Corbin Atkinson

Answered question

2023-02-14

How to use the rational root theorem to find the roots of 8 x 3 - 3 x 2 + 5 x + 15 ?

Answer & Explanation

Tyree Hayes

Tyree Hayes

Beginner2023-02-15Added 8 answers

p x n + a n - 1 + ... a 1 x + q
According to the rational roots theorem, the formula to determine any potential zeroes of a given polynomial function is factors of p factors of q , where p and q are the function's first and last coefficients. The elements of p in this instance are 1, 2, 4, and 8, whereas the factors of q are 1, 3, 5, 9, 15, and 45. Once you have all of the function's potential zeroes, all you have to do is use synthetic division to test them.
So, 1 , 2 , 4 , 8 1 , 3 , 5 , 9 , 15 , 45 = 1 , 1 3 , 1 5 , 1 9 , 1 15 , 1 45 , 2 , 2 3 , 2 5 , 2 9 , 2 15 , 2 45 , 4 , 4 3 , 4 5 , 4 9 , 4 15 , 4 45 , 8 , 8 3 , 8 5 , 8 9 , 8 15 , 8 45

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