Question

if alpha and beta are the zeros of a polynomial cell that alpha + beta is equals to 10 and alpha beta is equals to C then write the polynomial

Answer 1

alpha +beta =10

alpha beta=C

formula to find equation is:

x^2-(a+b)+ab=0

x^2-10x+C=0

hope it understandand help you

Answer 2

Standard form of polynomials is

ax^2 + bx + c = 0

or

x^2 + b/a x + c/a = 0

or

x^2 + (α+β)x + αβ = 0

Given:

Alpha + beta = 10

Alpha × beta = C

Simply Putting values of alpha and beta we get :

x^2 + 10x + c = 0

which is required equation of polynomial.