Question

. Show that x-1 is a factor of the polynomial f(x) = 2x3
-3x2+7x-6.

Answer 1

if x=1
2(1)^3-3(1)^2+7(1)-6
2-3+7-6
9-9=0
yes x-1 is a factor of f(x)

Answer 2

$\textbf{Your answer }$

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$x - 1 = 0 \\ \\ x = + 1 \\ \\ 2 {x}^{3} - 3{x}^{2} + 7x - 6 = 0 \\ \\ 2({1}^{3}) - 3({1}^{2}) + 7 ( 1 ) - 6 = 0 \\ \\ 2 - 3 + 7 - 6 = 0 \\ \\ - 1 + 1 = 0$

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