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Question
Value of ‘a’ so that (x + 6) is a factor of the polynomial x3 + 5x2 - 4x + a.
Value of ‘a’ so that (x + 6) is a factor of the polynomial x3 + 5x2 - 4x + a.
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Solution
The correct option is A 12
If (x + 6) is a factor of the given polynomial, then the remainder should be zero. Dividing the polynomial by (x + 6) and equating the remainder, (a – 12) to 0.
Hence, a – 12 = 0
Or, a = 12.
12
If (x + 6) is a factor of the given polynomial, then the remainder should be zero. Dividing the polynomial by (x + 6) and equating the remainder, (a – 12) to 0.
Hence, a – 12 = 0
Or, a = 12.
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