Question

Find m if x - 3 is a factor of x^3+ x^2 – mx + 15

Answer 1

Answer:

Let the given polynomial be p(x).

If x - 3 is a factor,

then,

p(x) = p(3) = 3^3 + 3^2 - 3m + 15 = 0

=> 27 + 9 - 3m + 15 = 0

=> 51 - 3m = 0

=> 3m = 51

=> m = 17

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Answer 2

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