Question

Finf the sum of roots of polynomial 2xsquare -4 (x+1)+3.

Answer 1

The sum of roots of given polynomial is 4  

Step-by-step explanation:

Given as :

The polynomial equation

2 x²  - 4 ( x + 1 ) + 3 = 0

Or,  2 x²  - 4 x + 4 + 3 = 0

Or, 2 x²  - 4 x + 7 = 0

Or,    x²  - 2 x + $\dfrac{7}{2}$  = 0

The standard quadratic equation is

  ax²  + b x + c = 0

Let The two roots of this equation is  α  , β

The sum of roots of equation = $\dfrac{-b}{a}$

Or,                                       α  + β = $\dfrac{-b}{a}$

Compare given equation with standard equation

Sum of roots = $\dfrac{-2(-2)}{1}$

                     = $\dfrac{4}{1}$  = 4

So, The sum of roots of given polynomial = 4

Hence, The sum of roots of given polynomial is 4   Answer