Question

If α, β are zeros of polynomial 25p2

-15p+2,find a quadratic polynomial whose zeroes are

1/α & 1/β
I think the question is wrong please tell if the the it right or wrong​

Answer 1

Answer:

15/2

Explanation:

Given polynomial,

⇒ 25p² - 15p + 2

On comapring with the general form of equation ax² + bx + c

• a = 25
• b = -15
• c = 2

Then,

• α + β = -c/a = -(-15)/25 = 15/25
• αβ = b/a = 2/25

Solving for 1/α + 1/β

⇒ α + β/αβ

Substituting the values,

⇒ 15/25 ÷ 2/25

⇒ 15/25 × 25/2

⇒ 15/2

Required answer: 15/2

_____________________

General form of a quadratic equation :

• ax² + bx + c

Sum of zeros :

• α + β = -b/a

Product of zeros :

• αβ = c/a