The correct option is (2) and (3) .
The factor of equation f(x) = 60 + 86 – 46 – 43 + 8 are and .
<h3>Rational Root Theorem: </h3>
The rational root theorem, also referred to as the rational zero theorem, is a potent mathematical technique used to identify all potential rational roots of polynomial equations of order 3 and above.
For the given polynomial, the roots are given as;
Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 and factors of 8 are 1, 2, 4 and 8.
Out of the given options, only and can be written in the form:
Therefore, the rational roots of polynomial f(x) = 60 + 86 – 46 – 43 + 8 are and .
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The complete question is-
Which is a factor of f(x) = 60 + 86 – 46 – 43 + 8? use the rational root theorem to help you find your answer.
- x – 6 => 6
- 5x – 8 =>
- 6x – 1 =>
- 8x + 5 =>