Question

Find the remainder (without division)
when
x² +7x- 11 is divisible by 3x-2​
​

Answer 1

$3x - 2 = 0 \\ x = \frac{2}{3} \\ \\ = > {x}^{2} + 7x - 11 \\ \\ = > { \frac{2}{3} }^{2} + \frac{14}{3} - 11 \\ \\ = > \frac{4}{9} + \frac{14}{3} - 11 \\ \\ = > \frac{4 + 42 - 99}{9} \\ \\ = > \frac{ - 53}{9}$

Answer 2

=> $3x - 2 = 0$

=> $x = \frac{2}{3}$

=> ${x}^{2} + 7x - 11 = 0$

=> ${2 \div 3}^{2} + 7 \times \frac{2}{3} - 11 = 0$

=> $\frac{4}{9} + \frac{14}{3} - 11 = 0[/tex</h3><h3>=> [tex] \frac{4 + 42 - 99}{9} = 0</h3><h3>=> [tex] \frac{ - 53}{9}$