**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

(2) Find the square root of the following

4 x⁴ + 8 x³ + 8 x² + 4 x + 1

(3) Find the square root of the following

9 x⁴ - 6 x³ + 8 x² + 4 x + 1

(4) Find the square root of the following

4 + 25 x² - 12 x - 24 x³ + 16 x⁴

(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

(ii) x⁴ - 4 x³ + 10 x² - a x + b

a = 12 and b = 9

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

a = 49 and b = -70

(iv) a x⁴ - b x³ + 40 x² + 24 x + 36

a = 9 and b = -12