Question

If α and β are zeroes of polynomial x²-15x+8 then α+ β and αβ,respectively , are

Answer 1

Answer:15,8

Step-by-step explanation:

the above equation is in the form

a$x^{2}$+bx+c=0

where,

a=1

b=-15

c=8

if , α, β are the roots then

sum of roots

ie,

α+ β is -b/a

=>-(-15)/1

=15..

product of the roots is

αβ is c/a

=>8/1

=8..

Answer 2

GIVEN :–

a polynomial x² - 15x + 8 = 0 have two zero's are α and β .

TO FIND :–

values of (α + β) and (αβ)

SOLUTION :–

➡️ we know –

⏺ sum of roots = α + β = -(b/a)

⏺ product of roots = αβ = (c/a)

➡️ Now compare give equation with standard equation –

=> a = 1 , b = - 15 and c = 8

So that –

⏺ sum of roots = α + β = -(b/a) = 15

⏺ product of roots = αβ = (c/a) = 8

↪HENCE , α + β IS 1️⃣5️⃣ AND αβ IS 8️⃣ ✔