Question

find a quadratic polynomial,the sum and product of whose zeroes are ✓2 and -3/2 . also find its zeroes.​

Answer 1

=x(x-3√2)+2√2(x-3√2)
=(x-3√2)(x+2√2).
∴f(x)=0⇒(x-3√2)(x+2√2)=0.