FINDING SQUARE ROOT OF A POLYNOMIAL

On this webpage finding square root of a polynomial,we are going to see how to find square root any polynomial of degree 4.

Examples of finding square root of a polynomial:

(1) Find the square root of the following

 x⁴ - 4 x³ + 10 x² - 12 x + 9

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(2) Find the square root of the following

4 x⁴ + 8 x³ + 8 x² + 4 x + 1

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(3) Find the square root of the following

 9 x⁴ - 6 x³ + 8 x² + 4 x + 1

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(4) Find the square root of the following

4 + 25 x² - 12 x - 24 x³ + 16 x⁴

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(2) Find the values of a and b if the following polynomials are perfect square

(i) 4 x⁴ - 12 x³ + 37 x² + a x + b

a = - 42 and b = 49

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(ii) x⁴ - 4 x³ + 10 x² - a x + b

a = 12 and b = 9

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(iii)  a x⁴ + b x³ + 109 x² - 60 x + 36

  a = 49 and b = -70

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(iv) a x⁴ - b x³ + 40 x² + 24 x + 36

 a = 9 and b = -12