Question

plz solve this question of class 10 ch polynomials

Find the quadratic polynomial , the sum and product of whose zeroes are √2 and 3 respectively​

Answer 1

Answer:

let the zeroes be alpha and beta

the sum of zeroes = -b/a

 root 2/1 = -b/a

product of zeroes = c/a

3 = c/a

compare to get a= 1  b = - root 2 and c = 3

so quadratic equation is

x^2 - root 2x + 3 = 0

Step-by-step explanation:

root 2 is minus because if we see -b = root 2

so root 2 can be positive only if  it will be like this -(-root2)

Answer 2

Answer:

x²-√2 x +3

Step-by-step explanation:

If p an q are two zeroes of a polynomial

then the polynomial=

p(x) = x²-(p+q)x +pq

here,. given p+q=√2 and pq= 3

=> p(x) = x²-√2 x +3

Answer