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square root of polynomial The f f , denoted by √f f, is any polynomial g g having the square g2 g 2 equal to f f . For example, √9x2−30x+25 =3x−5 9 x 2 - 30 x + 25 = 3 x - 5 or −3x+5

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James Platt

A square root of 4 x 4 + 4 x 3 − 11 x 2 − 6 x + 9 would be a polynomial P ( x) with the property that P ( x) ⋅ P ( x) = 4 x 4 + 4 x 3 − 11 x 2 − 6 x + 9. We want to find P ( x) with this property, or prove

To find the square root of a polynomial, arrange the terms with reference to the powers of some number; take the square root of the first term of the polynomial for the first term of the root

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Solution : First arrange the term of the polynomial from highest exponent to lowest exponent and find the square root. Then, 16x4 - 24x3 + 25x2 - 12x + 4. Therefore the square root of the given polynomial is. |4x2 - 3x + 2|.