Question

Find a quadratic polynomial with the given numbers as the sum and the product of its zeros as √2, 13 respectively.​

Answer 1

Step-by-step explanation:

Sum of zeros (S) = √2

Product of zeros (P) = 13

x^2-Sx+P = 0

x^2-√2x+13 = 0

Answer 2

Step-by-step explanation:

let the zeroes are alpha and beta

alpha + beta =√2

alpha*beta=13

x²-(alpha+beta)x+alpha*beta

x²-√2x+13