FINDING SQUARE ROOT OF POLYNOMIAL BY LONG DIVISION METHOD WORKSHEET

(1)  Find the square root of the following polynomials by division method

(i)  x⁴ −12x³ + 42x² −36x + 9        Solution

(ii)  37x² −28x³ + 4x⁴ + 42x + 9      Solution

(iii) 16x⁴ + 8x² + 1      Solution

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

(2)  Find the square root of the expression

(x²/y²) - 10x/y + 27 - (10y/x) + (y²/x²)

Solution

(3)  Find the values of a and b if the following polynomials are perfect squares

(i) 4x⁴ −12x³ + 37x² + bx + a      Solution

(ii)  ax⁴ + bx³ + 361x² + 220x + 100       Solution

(4)  Find the values of m and n if the following expressions are perfect sqaures

(i)  (1/x⁴) - (6/x³) + (13/x²) + (m/x) + n      Solution

(ii) x⁴ − 8x³ + mx² + nx + 16      Solution

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