Find the value of k, if is a factor of expression . contexto.140 3 years ago Given, is a factor of g(x) = . So,
![\[3x\text{ }\text{ }4\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-77da2aac324ec27d94524219392b2416_l3.png "Rendered by QuickLaTeX.com")
![\[\mathbf{3}{{\mathbf{x}}^{\mathbf{2}}}~+\text{ }\mathbf{2x}\text{ }\text{ }\mathbf{k}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-64ce175464ef00b22e59c487a72c507c_l3.png "Rendered by QuickLaTeX.com")
![\[f\left( 4/3 \right)\text{ }=\text{ }0\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-55ab1ab82cf4e98ce32e64a8692056d2_l3.png "Rendered by QuickLaTeX.com")
![\[\begin{array}{*{35}{l}} 3{{\left( 4/3 \right)}^{2}}~+\text{ }2\left( 4/3 \right)\text{ }\text{ }k\text{ }=\text{ }0 \\ 16/3\text{ }+\text{ }8/3\text{ }\text{ }k\text{ }=\text{ }0 \\ 24/3\text{ }=\text{ }k \\ k\text{ }=\text{ }8 \\ \end{array}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-db73d74095182fe06f192a7de6556c3e_l3.png "Rendered by QuickLaTeX.com")
![\[\mathbf{3x}\text{ }\text{ }\mathbf{4}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-c99d2a55090302251918d6907d76fd17_l3.png "Rendered by QuickLaTeX.com")
