Question

33.For what value of k, is 3 a zero of the polynomial 2x² + x + k?
34. For what value of k, is –3 a zero of the polynomial x² + 11x + k?
35. For what value of k, is –2 a zero of the polynomial ​3x² + 4x +2k?

Answer 1

$$\begin{gathered} DearStudent, \\ ZeroofapolynomialmeansthatitsatisfytheequationofthepolynomialP\left(x\right)=0 \\ Q.33)if3isazeroof2x^2+x+k \\ thenitmustsatisfy \\ 2x^2+x+k=0 \\ Therefore,2{\left(3\right)}^2+3+k=0 \\ k=-21 \\ Q.34)-3isthezeroof{x}^2+11x+k \\ thenitmustsatisfy \\ {x}^2+11x+k=0 \\ i.e.{\left(-3\right)}^2+11\left(-3\right)+k=0 \\ \Rightarrow k=24 \\ Q.34)-2isthezeroof3x^3+4x+2k \\ thenitmustsatisfy \\ 3x^3+4x+2k=0 \\ i.e.3{\left(-2\right)}^2+4\left(-2\right)+2k=0 \\ \Rightarrow 12-8+2k=0 \\ k=-2 \\ Regards. \end{gathered}$$