Question

find remainder when 2 x cube minus 8 x square + 3 X + 10 divided by x minus 2​

Answer 1

Step-by-step explanation:

Let the given polynomial be:

$p(x) = 2 {x}^{3} - 8 {x}^{2} + 3x + 10 \\ g(x) = x - 2 \\ g(x) = 0 \implies \: x = 2 \\ p(2) = 2 \times {2}^{3} - 8 \times {2}^{2} + 3 \times 2 + 10 \\ = 16 - 32 + 6 + 10 \\ = 32 - 32 \\ = 0 \\ p(2) =0 \\ hence \: remainder \: = 0$