Question

द रिमाइंडर वन एक्स क्यूब माइनस टू एक्स स्क्वायर प्लस एक्स प्लस वन इज डिवाइडेड बाय एक्स माइनस वन इज​

Answer 1

SOLUTION

TO DETERMINE

The remainder when x³ - 2x² + x + 1 is divided by x - 1

EVALUATION

Let

$\sf{f(x) = {x}^{3} - 2 {x}^{2} + x + 1 }$

g(x) = x - 1

For Zero of the polynomial g(x) we have

g(x) = 0

$\implies \sf{x - 1 = 0}$

$\implies \sf{x = 1}$

Hence by the Remainder Theorem the required remainder when x³ - 2x² + x + 1 is divided by x - 1 is

= f(1)

$\sf{ = {(1)}^{3} - 2 \times {(1)}^{2} + 1 + 1 }$

$\sf{ = 1 - 2 + 1 + 1}$

$= 1$

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