Question

Write a quadratic equation with the given roots. Write the equation in the form ax2 + bx + c = 0 where a, b, and c are integers. 4/3 and -1

Answer 1

`\begin{cases} x = (4)/(3) &\implies 3x=4\implies 3x -4=0\\ x = -1 &\implies x +1=0\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{original~polynomial}{a ( 3x -4 )( x +1 ) = 0} \hspace{5em}\stackrel{\textit{now assuming that}}{a=1}\hspace{3em}1( 3x -4 )( x +1 ) = 0 \\\\\\ ~\hfill {\Large \begin{array}{llll} 3x^2-x-4=0 \end{array}}~\hfill`