Question

If a and b are the zeros of the polynomial 2x^2+7x+5 , then find the value of (a+b)+(ab)

Answer 1

• - 1

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The given polynomial is 2x² + 7x + 5.

Let α and β be the roots of the polynomial.

Using the sum and product of roots of a quadratic equation, we have:

• α + β = -b/a and αβ = c/a²

• α + β = -7/2
• αβ = 5/2

Then:

• α + β + αβ = (-7/2) + (5/2) = -1

Therefore, the answer is -1.