If √2 = 1.4142 then find the value of .

Find the value of x³ +y³ –12xy + 64 when x + y = – 4

If p (x) = x² – 4x + 3. Evaluate:

What should be added in the polynomial x³ + 2x² – 9x + 1 so that it is completely divisible by x + 4?

Check by division whether x² –2 is a factor of x⁴ + x³ + x² – 2 x – 3 or not.