Question

Find the zeroes of the polynomial p(x) = x2 - 4x + 3 and verify the relationship between zeroes and
coefficients.
.​

Answer 1

Answer:

Step-by-step explanation:

Given, p(x)=x  

2

−4x+3

=x  

2

−3x−x+3

=x(x−3)−1(x−3)

=(x−3)(x−1)

For zeroes of polynomial, p(x)=0

i.e.  (x−3)(x−1)=0

or,   x=3 or x=1

Let, α=3 and β=1

α+β=  

a

−b

​  

 

αβ=  

a

c

​  

 

Here,  a=1b=−4c=3

α+β=4

αβ=3