Question

find the quadratic polynomial if sum of zeros is equal to √2 and product of zeros is equal to -12 hence find the zeros of polynomial​

Answer 1

let x and y be zeroes of it.

therefore x×y=-12=-b/a

also

x+y=√2=c/a

comparing it we get a=1 b=12 c=√2

so p(x)=ax²+bx+c

=1x²+12x+√2

Answer 2

Answer:

Step-by-step explanation:

Polynomial formed= x^2-√2x -12

√D= (-√2)^2-4*(-12)

=4+48=√56

Hence , alpha= -√2+√56/2

Beta=-√2-√56/2