Find the zeroes following quadratic polynomial and verify the relationship between zeroes and coefficient 4x2-4x+1
Answers
Answered by
8
Answer:
p(x) = 4x^2 - 4x +1 (ax^2 + bx + c)[here a = 4, b = -4, c = 1]
4x^2 - 2x - 2x + 1
2x(2x-1) -1(2x-1)
(2x-1)(2x-1)
x = 1/2
or x = 1/2
let α be 1/2
and β be 1/2
sum of zeroes = α+β
=1/2 +1/2
= 1
but sum of zeroes = -b/a
= -(-4)/4
= 1
hence -b/a = α+β
product of zeroes = α*β
= 1/2 * 1/2
= 1/4
but product of zeroes = c/a
= 1/4
hence verified
Step-by-step explanation:
Similar questions