Question

1).Find the quadratic polynomial, the sum of whose zeros is √2 and their product is -12. Hence, find the zeros of the polynomial.
2).Find a quadratic polynomial whose zeros are 1 and -3.Verify the relation between the
coefficient and zeros of the polynomial.

Answer 1

Step-by-step explanation:

sum of the zeros is √ 2 and product is -12 so

a+b=√2 ........(1

ab=-12.........(2

x^2-(a+b)x+ab=0

x^2-√2-12= 0