Question

Find the zeroes of the polynomial and verify the relationship between the zeroes and the coefficient
5t+12t+7t

Answer 1

Question:-

Find the zeroes of the polynomial and verify the relationship between the zeroes and the coefficient 5t+12t+7t

Answer:-

★ 5t²+12t+7

⇒5t²+5t+7t+7

⇒5t(t+1)+7(t+1)

⇒ t=-1,-7/5

• -1,-7/5 are the zeroes of the polynomials

_____________________

★ α+β=-b/a

⇒-1+-7/5=-12/5

⇒-12/5=-12/5

★ αβ=c/a

⇒-1 х -7/5=7/5

⇒7/5=7/5

• hence, verified the relationship between the zeroes and the coefficient