Question

Find the zeros of the quadratic polynomial 2x^2-3x+1 and verify relationship between zeroes and co-efficint

Answer 1

Answer:

2x^2-3x+1=0

a=2, b= - 3, c=1

2x^2-2x-x+1=0

2x(x-1)-1(x-1)=0

(2x-1)(x-1)=0

x=1/2. x=1

Relationship between zeroes and co-efficient are

Sum of zeroes or roots = 1/2+1= 3/2= - b/a

Product of root or zeroes =(1/2)*1=1/2=c/a