Question

Find a quadratic polynomial whose zeros are 1 and 3. Verify the relation between the

coefficients and zeros of the polynomial.​

Answer 1

Answer:

sum of zeroes:1+3=4

product of zeroes:1×3=3

Therefore, quadratic polynomial in x:

k[x²+(s)x+p]

k[x²+(4)x+3]

k[x²+4x+3]

x²+4x+3,where k=1

Verification:

alpha+beta=4/3

but, alpha+beta=-b/a= -(-4)/3=4/3

and alpha.beta=3

but,alpha.beta=c/a=3/1=3

hence verified