# Show that (x - 1) is a factor of the polynomial f (x) = 2xÂ³ - 3xÂ² + 7x - 6URGENT!!!!

if  $x= 1$ is the root of $f(x)$

then the given polynomial equation will be Zero

Now,

put $x = 1$ in the given polynomial equation $f(x)$

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

Hence, $x = 1$ is the root of the $f(x) = 2x^{3} - 3x^{2} + 7x -6 \\$

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