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

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

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best_answer

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 $$f(x) = 2x^3 - 3x^2 + 7x -6 $$\$$

 

Posted by

Deependra Verma

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