Question
Determine whether the given quadratic polynomial is irreducible. [Recall from the text that a quadratic polynomial $f(x)$ is irreducible if the equation $f(x)=0$ has no real roots](a) $24 x^{2}+x-3$(b) $x^{2}+24 x+144$
Step 1
We can use the quadratic formula to find the roots of a quadratic equation, which is given by $x = \frac{-b \pm \sqrt{b^{2}-4ac}}{2a}$, where $a$, $b$, and $c$ are the coefficients of the quadratic polynomial. Show more…
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