If 𝛼 and 𝛽 Be the Zeroes of the Polynomial `2x^2 - 7x + K` Write the Value of (𝛼 + 𝛽+ 𝛼 𝛽. - Mathematics

If 𝛼 and 𝛽 be the zeroes of the polynomial `2x^2 - 7x + k` write the value of (𝛼 + 𝛽+ 𝛼 𝛽.

By using the relationship between the zeroes of he quadratic polynomial.
We have

Sum of zeroes=`(-("Coefficient of x"))/("Coefficient of "x^2)` and Product of zeroes =`("Constant term")/("Coefficient of ""x^2)`

`∴ ∝+β=(-7)/2and ∝β=5/2`

Now, 𝛼 + 𝛽 + 𝛼𝛽 =`(-7)/2+5/2=-1`

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