Question

1.Find the quadratic polynomial whose zeroes are -2 and -5. Verify the relationship between zeroes and coefficients of the polynomial.
2​

Answer 1

Answer:

If -2 and -5 are zeroes of the polynomial, then the polynomial is:

(x+2)(x+5)= x^2+7x+10

compare this with standard polynomial

ax^2+bx+c

a=1,b=7 and c=10

Let coefficients be alpha and beta

You can see that

alpha + beta =b/a =7

and alpha . beta=c/a=10 So verified