MathematicsFind the coefficient of x2 in the following polynomials, 3×2+2ẋ-4×2-3x-2 .

Find the coefficient of x2 in the following polynomials, 3x2+2ẋ-4x2-3x-2 .


  1. A
    14
  2. B
    16
  3. C
    -16
  4. D
    -14 

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    Solution:

    The given polynomial is 3x2+2ẋ-4x2-3x-2.
    We know that the coefficient of xm  in axm+bx+c is a.
    Therefore, write the expression 3x2+2ẋ-4x2-3x-2 in polynomial form,
    3x2+2x-4x2-3x-2
    3x2x2-3x-2+2xx2-3x-2-4x2-3x-2
    3x4-9x3-6x2+2x3-6x2-4x-4x2+12x+8)
    3x4-7x3-16x2+8x+8
    Therefore, the coefficient of x2 in 3x4-7x3-16x2+8x+8 is -16.
    Hence, option 3 is  correct.
     
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