Question

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

Answer 1

Answer:

x²-√2x+3

Step-by-step explanation:

Sum of Zeroes=√2[α+β]

Product of Zeroes=3[αβ]

Quadratic Formula↓

→k[x²-(α+β)x+αβ]

Substituting the Values↓

→k[x²-(√2)x+3]

•Let k=1

→1[x²-√2x+3]

=>x²-√2x+3 is the required quadratic Polynomial.