Question

Find a quadratic polynomial whose sum and product of zeroes are – 5 and 6.​

Answer 1

QUESTION :

Find a quadratic polynomial whose sum and product of zeroes are – 5 and 6.

ANSWER :

Quadratic polynomial

Quadratic polynomial = x^2 – (sum of zeroes)x + product of zeroes

x + product of zeroes = x^2 – (–5)x + 6

x + product of zeroes = x^2 – (–5)x + 6 = x^2 + 5x + 6

FINAL ANSWER : x^2 + 5x + 6

Answer 2

Answer:

Step-by-step explanation:

Sum of the zeroes = α+β = -b/a

                               = -5 = -b/a ⇒ b = 5, a=1

Product = αβ = 6

             = c/a = 6 ⇒ c=6

Quadratic polynomial is of the form ax²+bx+c,

Therefore, the polynomial is x² +5x +6