(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)
(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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