Question

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

Answer 1

Find the remainder (without division) when x2 +7x - 11 is divisible by 3x - 2. Solution: Here, f(x) = x2 + 7x – 11 and 3x - 2 = 0 ⟹ x = 23. By remainder Theorem

Answer 2

$By \: factor \: theorem$☺️☺️

=> $3x - 2 = 0$

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

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

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

=> $\frac{4}{9} + \frac{14}{3} - 11$

=> $\frac{4 + 42 - 99}{9}$

=> $\frac{ - 53}{9}$