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If x + 2 is a factor of x3 – 2ax2 + 16, then value of a is
  • a)
    3
  • b)
    1
  • c)
    4
  • d)
    2
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If x + 2 is a factor of x3– 2ax2+ 16, then value of a isa)3b)1c)...
If x 2 is a factor of x^3, then x^3 can be written as (x 2) multiplied by some other polynomial. We can use polynomial long division or synthetic division to find this polynomial:

x^2
--------
x 2 | x^3 + 0x^2 + 0x + 0
-x^3 - 2x^2
---------
-2x^2 + 0x
-2x^2 - 4x
----------
4x + 0

Therefore, x^3 = (x 2)(x^2 - 2x + 4).
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If x + 2 is a factor of x3– 2ax2+ 16, then value of a isa)3b)1c)...
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If x + 2 is a factor of x3– 2ax2+ 16, then value of a isa)3b)1c)4d)2Correct answer is option 'B'. Can you explain this answer?
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