Question

Find the zeros of the polynomials p(x)=x2-4x+3and verify the relationship between zeros and coefficients

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

p(x) = x^2-4x+3

x^2-4x+3 = x^2-x-3x+3 = x(x-1)-3(x-1) = (x-1)(x-3)=

(x-1)(x-3) = 0 ----- x=1,3

the zeros of polynomial are 1 and 3

verification:

sum of zeros = 1+3 = 4

sum of zeros = -(co-efficient of x)/co-efficient of x^2

= -(-4)/1 =4

product of zeros = 1×3 =3

product of zeros = constant term / co-efficient of x^2

= 3/1 =3

hence verified.

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