Question

Find the sum and product of roots for the given polynomial :x^2+6x-5
-6 and -5
-6 and 5
none​

Answer 1

Answer:

this is your answer

Step-by-step explanation:

Correct option is

A

6,5

⇒ The given quadratic equation is x

2

−6x+5=0, comparing it with ax

2

+bx+c=0

∴ a=1,b=−6 and c=5

⇒ Let α and β are two roots of given equation.

⇒ α+β=−

a

b

=−

1

(−6)

=6

∴ α+β=6

⇒ α.β=

a

c

=

1

5

∴ α.β=5

⇒ The sum and the product of the roots are 6 and 5

Answer 2

In polynomial ax^2 + bx + c,
Sum of zeroes = -b/a
Product of zeroes = c/a
So sum of zeroes = -6/1 = -6
Product of zeroes = -5/1 = -5