Question

Find the quadratic polynomials Whoes zeros are1 and - 3. verify the relation between the coefficients and zeros of polynomials

Answer 1

Alpha=1 beta=-3
alpha+beta= 1+(-3) = -2
alpha*beta= 1*-3=-3
quadratic polynomial= x2- ( alpha+beta )x+ ( alpha*beta )
x2-(-2)x+(-3)
x2+2x-3
compare this with ax2+bx+c=0
-b/a= -2/1
c/a= -3
sum of zeroes= -(coefficient of x)/ coefficient of x2 = -b/a
product of zeroes= constant term/ coefficient of x2