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Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval.
$x^4 + x - 3 = 0$, $(1, 2)$
$f(x) = x^4 + x - 3$ is \textbf{Select} on the closed interval $[1, 2]$. $f(1) = \boxed{\text{ }}$ and $f(2) = \boxed{\text{}}$. Since $-1 < \boxed{\text{ }} < 15$, there is a number $c$ in $(1, 2)$ such that $f(c) = \boxed{\text{}}$ by the Intermediate Value Theorem. Thus, there is a \textbf{Select} of the equation $x^4 + x - 3 = 0$ in the interval $(1, 2)$.
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