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MaRussiya [10]
2 years ago
7

Giving brainliest!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
GarryVolchara [31]2 years ago
3 0

Answer: \pm1,\pm3,\pm5, \pm15

Step-by-step explanation:

We can list the possible rational roots of this polynomial using the Rational Root Theorem. This theorem states that all the possible rational roots of an equation follow the structure \frac{p}{q}, where <u>p is any of the factors of the constant term and q is any of the factors of the leading coefficient</u>.

In this example, -15 is the constant term and 1 is the leading coefficient (x^4 has a coefficient of 1).

The factors of -15 are \pm1,\pm3,\pm5, \pm15, while the factors of 1 are \pm1. <em>p </em>is can be any one of the factors of -15, while <em>q</em> can be any of the factors of 1.

\frac{\pm1,\pm3,\pm5, \pm15}{\pm1}

The possible roots can be any of the numbers on the top divided by any of the numbers on the bottom. Since dividing by 1 or -1 won't change any of the numbers on the top, the rational roots of this function are \pm1,\pm3,\pm5, \pm15.

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