Question

on dividing 30x3 +11x3-82x2-12x+48 by polynomial g(x) the quotient and remainder were 10x2-3x-12 and 0 respectively. find g(x)​

Answer 1

$\frac{ {30x}^{4} + {11x}^{3} - {82x}^{2} - 12x + 48 }{ {10x}^{2} - 3x - 12 } \\ = {3x}^{2} + 2x - 4$