Q10 of 84 Page 55

For which the value of x + 3 is the factor of the polynomial x3 – 2mx + 21?

Put x = -3 in the given polynomial and equate it to zero as x+3 is to be a factor of the polynomial.

(-3)3 – 2 × m × (-3) + 21 = 0


-27 + 6m + 21 = 0


6m -6 = 0


6m = 6


m = 1


So for x+3 to be a factor of the given polynomial, the value of m = 1.


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