How do you use the rational root theorem to find the roots of #3x^4 + 5x^3 + 3x^2 - 7x + 9 = 0#?
2 Answers
There are no rational roots.
Explanation:
Rational roots would be the factors of
From the rational root theorem we find that the only possible rational roots are
None of these is a root, so the equation has no rational roots.
Explanation:
By the rational root theorem, any rational root of
That means that the only possible rational roots are:
Let
Then:
So none of the possible rational roots is a root of
So
In fact it has no real roots at all:
graph{3x^4+5x^3+3x^2-7x+9 [-20, 20, -4, 16]}