Question

. Find the quadratic polynomials if sum and the product of the zeroes are given respectively. a) ¼ and -1 b) -1/4 and 1/4 c) 4 and 1

Answer 1

Step-by-step explanation:

b) x^2 + x/4 + 1/4

a) x^2 - x/4 -1

c) x^2 -4x +1

Answer 2

Step-by-step explanation:

Let a and b be two two roots of quadratic equation.

Equation=x²-(a+b)x+ab.

a). a+b=¼ and ab=-1.

Equation=x²-¼x-1

=>4x²-x-4=0.

b). a+b=-¼ and ab=1

Equation=x²-(-¼)x+1

=>4x²+1+4=0

c). a+b=4 and ab=1.

Equation=x²-4x+1=0.