MathematicsThe sum of the zeroes of the polynomial 2x² – 8x + 6 is:

The sum of the zeroes of the polynomial 2x² - 8x + 6 is:


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

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    Solution:

    Given polynomial is, 2x² - 8x + 6=0 .
    Now, the general equation is ax2+bx+c=0.
    Comparing (1) with the general equation,
    a=2
    b=-8
    c=0
    Let α and β are the two zeroes of the quadratic polynomial.
     Sum of zeroes (α+β)= b a a+β= (8) 2 α+β= 8 2 α+β=4   Sum of zeroes = 4
    Hence, the sum of the zeroes of the polynomial 2x² - 8x + 6 is 4.
    Therefore, option 4 is correct.
     
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