Find the value of polynomial 4+xcube minus x plus 2xsquare at x=0 x=1

1.	Find the value of polynomial 4+xcube minus x plus 2xsquare at x=0 x=1 x=minus 2
Answer» <html><body><p>The Given Polynomial is f(x) = 4+xcube minus x <a href="https://interviewquestions.tuteehub.com/tag/plus-591752" style="font-weight:bold;" target="_blank" title="Click to know more about PLUS">PLUS</a> 2xsquare since √2 and -√2 are the zeroes of f(x) , it follows that each <a href="https://interviewquestions.tuteehub.com/tag/one-585732" style="font-weight:bold;" target="_blank" title="Click to know more about ONE">ONE</a> of ( x - √2 ) and ( x + √2 ) is a factor of f (x ). CONSEQUENTLY , (x - √2)(x+√2) =(x^2 - 2 ) is a factor of f (x). on dividing f (x ) = 2x^3 - x^2 - <a href="https://interviewquestions.tuteehub.com/tag/4x-319255" style="font-weight:bold;" target="_blank" title="Click to know more about 4X">4X</a> + 2 by x^2 - 2 , we get => f (x) = <a href="https://interviewquestions.tuteehub.com/tag/0-251616" style="font-weight:bold;" target="_blank" title="Click to know more about 0">0</a> => (x^2 - 2)(2x-1)=0 =>(x - √2) (x + √2) (2x - 1 )=0 => (x - √2 )=0 or (x + √2 ) =0 or (2x - 1 )=0 => x = √2 or x = -√2 or x = 1/2. HENCE , all zeroes of f(x) are √2 , -√2 and 1/2. thanksStep-by-step explanation:</p></body></html>

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