Question

If the remainder obtained when x3 + 5x2 + ax -7 is divided by x -3 is 47 then find the value of a.

Answer 1

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Answer 2

p(x) = x³ + 5x² + ax - 7 = 47

(x - 3) = 0

x = 3

p(3) = 3³ + 5 * 3² + 3a - 7 = 47

27 + 45 + 3a - 7 = 47

65 + 3a = 47

3a = 47 - 65

3a = -18

a = -18/3

a = -6

Therefore, the value of a is -6