Question

Find a and b if the polynomial 144 + 216 − 2 + 3 + 121 4 is perfect square.​

Answer 1

Step-by-step explanation:

(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