Question

Findi the remainder when
3x⁴-5x³+6x²-8x+9 is divided by (x-2)​

Answer 1

Answer:

$x - 2)3x ^{4} - 5x ^{3} + 6 {x}^{2} - 8x + 9(3x ^{3} + {x}^{2} + 8x + 8 \\ 3x ^{4} - 6x ^{3} \\ - - - - - - - - - - \\ x ^{3} + 6 x ^{2} \\ {x}^{3} - 2 {x}^{2} \\ - - - - - - - - - - - - \\ 8 {x}^{2} - 8x \\ 8 {x}^{2} - 16x \\ - - - - - - - - - - - - \\ 8x + 9 \\ 8x - 16 \\ - - - - - - - - - - - - \\ 25$

Check the attachment above.

Hope it is helpful.