Factor
\left(2t+1\right)\left(4t^{2}+19\right)
Evaluate
\left(2t+1\right)\left(4t^{2}+19\right)
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\left(2t+1\right)\left(4t^{2}+19\right)
By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term 19 and q divides the leading coefficient 8. One such root is -\frac{1}{2}. Factor the polynomial by dividing it by 2t+1. Polynomial 4t^{2}+19 is not factored since it does not have any rational roots.
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