Question

Find the square root of the following polynomials by division method

(i) x⁴ – 12x³ + 42x² – 36x + 9

(ii) 37x² – 28x³ + 4x⁴ + 42x + 9

(iii) 16x⁴ + 8x² + 1

(iv) 121x⁴ – 198x³ – 183x² + 216x + 144

Answer 1

The long division method in finding the square root of a polynomial is useful when the degrees of a polynomial is higher.

(i) x⁴ – 12x³ + 42x² – 36x + 9

(ii) 37x² – 28x³ + 4x⁴ + 42x + 9

(iii) 16x⁴ + 8x² + 1

(iv) 121x⁴ – 198x³ – 183x² + 216x + 144