negative numbers and positive numbers

If the middle term is positive, and the last term is negative, the sign of one of the factors is positive and the other is negative..

The general form of the trinomial is (x 2 + cx + d) where c and d have different numerical values: c = a + b, and d = ab. In the given trinomial expression if all terms are positive, then both the factors are positive. If the middle term is negative,..

When 'n' is any integer, positive or negative then ..

is called the modulus of the complex number z denoted by |z| and q = tan -1 y/x is called the amplitude or argument of the complex number z denoted by amp(z) or arg(z). The value of q is such that - p < q p , is called the principal value of the amplitude. The general value o..

Square root of a negative number is known as an imaginary number. a > 0 is an imaginary number. or A number whose square is negative is known as an imaginary number. . . . The symbol i, We writ..

If Z = a + ib, then Z is called the negative of Z. -Z = -(a + ib) = -a - ..

Middle Terms for Positive Integral Index - The number of terms in the expansion of (a + b) n depends on the index n. The index n is either even or o..

The number of terms in the expansion of (a + b) n depends on the index n. The index n is either even or od..

General Term for Positive Integral Index is: For 0 r n, we have T r + 1 = n C r a n - r b r..

Particular Terms for Positive Integral Index - Sometimes, a particular term satisfying certain conditions is required in the binomial expansion of the type (a + b) n . This can be done by expanding (a + b) n and then locating the required term. Generally this becomes a tedious task, speci..