A maths problem regarding zeroes of a polynomial?

i have a problem in maths i m studying in class tenth it was given in my NCERT book that suppose we take 2x^2 - 8x + 6 = 2(x-1)(x-3) then it was given that x-1=0 x-3=0 so 1 and 3 are zeroes of the polynomials my problem is that "how we can say that "x-3=0" and ... show more i have a problem in maths
i m studying in class tenth
it was given in my NCERT book that
suppose we take
2x^2 - 8x + 6 = 2(x-1)(x-3)
then it was given that
x-1=0
x-3=0
so 1 and 3 are zeroes of the polynomials

my problem is that "how we can say that "x-3=0" and "x-1=0"

it was nowhere mentioned about dis???
plzz help urgently!
Update: i have a problem in maths i m studying in class tenth it was given in my NCERT book that suppose we take 2x^2 - 8x + 6 = 2(x-1)(x-3) then it was given that x-1=0 x-3=0 so 1 and 3 are zeroes of the polynomials my problem is that "how we can say that "x-3=0" and "x-1=0" it... show more i have a problem in maths
i m studying in class tenth
it was given in my NCERT book that
suppose we take
2x^2 - 8x + 6 = 2(x-1)(x-3)
then it was given that
x-1=0
x-3=0
so 1 and 3 are zeroes of the polynomials

my problem is that "how we can say that "x-3=0" and "x-1=0"

it was nowhere mentioned about dis???
plzz help urgently!


hey i saw jake's answer n i think its best
i could understand a bit
but then until u explained was ok
after that
either of the numbers (x-1, x-3) must be zero
i agree to that but in my book its been explained
that a quadratic polynomial has two zeroes n when it is made into a graph it forms a parabola

so i wanted to ask that how can we both of them i.e. x-1, x-3 as zeroes?????
7 answers 7