Question

POLNOMALS
EXERCISE 2.2
1. Find the zeroes of the following quadratic polynomials and verify the relationship between
the zeroes and the coefficients.
4x2-4x+1​

Answer 1

Step-by-step explanation:

Let f(x) = 4x2 ˗ 4x + 1

= (2x2) – 2(2x)(1) + (1)^2

= (2x – 1)2 To find the zeroes, set f(x) = 0 (2x – 1)2

= 0 x = 1/2 or x = 1/2

Again, Sum of zeroes = 1/2+1/2=1=1/1 = -b/a = (-Coefficient of x) / (Cofficient of x2)

Answer 2

2 no =-2 and -2

4x²-2x-2x+1

2x(2x-1)-1(2x-1)

(2x-1)(2x-1)

zeroes are 1/2 &1/2

sum =1

pro=1/4

sum=-b/a

=4/4=1

pro=c/a

1/4

Hence verified

HOPE IT HELPS