Question

Check whether (x-2) is a factor of x³-2x²+3x-6

Answer 1

here is ur answer pls mark as brainliest

Answer 2

$Solution - \\ \\ (x - 2) \: is \: a \: factor \: of \: {x}^{3} - {2x}^{2} + 3x - 6 \\ \\ so, \\ = > x - 2 = 0 \\ = > x = 2 \\ \\ then \\ p(x) = {x}^{3} - {2x}^{2} + 3x - 6 \\ p(2) = {(2)}^{3} - 2 \times {(2)}^{2} + 3 \times (2) - 6 \\ = 8 - 2 \times 4 + 3 \times 2 - 6 \\ = 8 - 8 + 6 - 6 \\ = 0 + 6 - 6 \\ = 0 \: answer \\ \\ Hope \: it \: helps \: you \\ \\ {Be}^{Brainly}$