Question

A partial solution set is given for each polynomial equation. Find the complete solution set. $$2 x^{3}-3 x^{2}-11 x+6=0 ;\left\{\frac{1}{2}\right\}$$

          A partial solution set is given for each polynomial equation. Find the complete solution set.
$$2 x^{3}-3 x^{2}-11 x+6=0 ;\left\{\frac{1}{2}\right\}$$

Added by Melissa M.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Moses Obasola

Step 1

First, we know that $\frac{1}{2}$ is a solution to the equation, so we can use synthetic division to factor out $(2x-1)$ from the polynomial: \begin{array}{c|cccc} \frac{1}{2} & 2 & -3 & -11 & 6 \\ & & 1 & -1 & -6 \\ \hline & 2 & -2 & -12 & 0 \\ \end{array} Show more…

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A partial solution set is given for each polynomial equation. Find the complete solution set. $$2 x^{3}-3 x^{2}-11 x+6=0 ;\left\{\frac{1}{2}\right\}$$