Question

divide the polynomial 14 x power 3 minus 5 x power 2 + 9 x minus one divided by 2 x minus1
can also used by 3 and remainder theorem​

Answer 1

BY REMAINDER THEOREM-

Zero of the Polynomial

( 2x - 1 ) = 0

=> $\frac {1}{2}$

Now,

${P(x)} = {14}x^3 - {5}x^2 + {9}x +1$

On putting the value of x -

=> $\frac{7}{4} - \frac{5}{4} + \frac{9}{2} + 1$

=> $\frac{2}{4} +\frac{11}{2}$

=> $\frac{24}{4}$

=> 6

By Dividing - ( LONG DIVISION METHOD )

Refer to the attachment ✌

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$\huge {THANKS}$