Resolve `Z^5+ 1` into linear & quadratic factors with real coefficients.

A man P speaks truth with probability p and another man A speaks truth with probability 2p. Statement-1 If P and Q contradict each other with probability (1)/(2) , then there are two values of p. Statement-2 a quadratic equation with real coefficients has two real roots.

Find the nature of the roots of the following quadratic equations. If the real roots exist, find them :- 8x^2+5x+1=0 .

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients. : 3x^2+5x-2 .

Define Resolving power of a telescope. On what factors does its value depend?

Classify the following as a constant, linear, quadratic and cubic polynomials 3

Classify the following as a constant, linear, quadratic and cubic polynomials 2+x

Classify the following as a constant, linear, quadratic and cubic polynomials t^2

ax^2+ by^2+ cz^2+2ayz+ 2bzx +2cxy can be resolved into linear factors if a, b, c are such that