Question

Show that x=1 is a root of the polynomal 2x³-3x²+7x-6

Answer 1

Answer:

$2 {x}^{3} - 3 {x}^{2} + 7x - 6 = 0\\ \\ \pink{put \: \: \: x = 1} \\ \\ lhs = 2 \times {1}^{3} - 3 \times {1}^{2} + 7 - 6 \\ \\ = 2 - 3 + 7 - 6 \\ \\ = 9 - 9 \\ \\ = 0 \\ \\ = rhs \\ \\ hence \: \: \: its \: \: \: \: factor \: \: \: of \: \: \: \: given \: \: \: equation$