Question

Show that 2 is a zero of the polynomial 2x^2-5x+2

Answer 1

:- 2x^2-4x-x+2
:- 2x(x-2)-1(x-2)
:- (2x-1)(x-2)
:- x=1/2 or x =2
Hence,x=1/2, 2
Therefore,2 is a zero of the polynomial 2x^2-5x+2

Answer 2

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Praneeth from Brainly.in here to help!

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f(x)=2x²-5x+2

if 2 is a zero of f(x) then x=2 or f(2)=0

➫ x=2
➫( x-2)=0

So,According to factor theorem, if x-2 is a factor of f(x) then f(2)=0

➫f (2)=0
➫ f(2)=2(2)²-5(2)+2=0
➫ 8-10+2=0
➫ 10-10=0

Thus ,2 is the zero of the polynomial 2x²-5x+2
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Another method

Factors of 2x²-5x+2
➫ 2x²-5x+2
➫ 2x²-4x-x+2
➫2x (x-2)-1(x-2)
➫(2x-1)(x-2)

Zero of the polynomial
➫2x -1=0
➫ x-2=0

➫ x= 2,1/2

Thus 2 is the zero of the polynomial 2x²-5x+2

hope helped!