Question

If the reminder on division of x cube + 2 X square + kx + 3 by x minus 3 is 21 then find the value of k

Answer 1

Hi friend
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Your answer
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Now,
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x - 3 = 0

=> x = 3

Then,
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p(x) = x³ + 2x² + kx + 3

=> p(3) = (3)³ + 2 × (3)² + k × 3 + 3 = 21

=> 27 + 18 + 3k + 3 = 21

=> 48 + 3k = 21

=> 3k = 21 - 48

=> 3k = - 27

=> k = - 27/3

=> k = - 9

HOPE IT HELPS