Question

question:
if α and ß are the zeros of the polynomial 2x² + 5x +1 find the value of α+ ß + αß.​

Answer 1

Answer:

-2

Explanation:

Given polynomial

⇒ 2x² + 5x + 1

On comparing with the general form of equation ax² + bx + c, we get

• a = 2
• b = 5
• c = 1

Where,

α and β are zeros,

Then,

• α + β = -b/a = -5/2
• αβ = c/a = 1/2

Finding : α + β + αβ

⇒ -5/2 + 1/2

⇒ (-5 + 1)/2

⇒ -4/2

⇒ -2

∴ α + β + αβ = -2