the product of any two binomials is a binomial?

fig. 7.4 - Examples of Binomial Nomenclatu..

>This is the same expansion as would have given by the binomial theorem for positive integral inde..

We have P(X = x + 1) = n C x + 1 p x + 1 q n - x - 1 ..

If the product of three binomials is x 3 + 3 x 2 - 10 x - 24 . If one is x + 2 , what are the other two binomials? => ( x - 3), ( x - 4) or ( x + 3), ( x - 4) or ( x - 3), ( x + 4) or ( x + 3), ( x + 4)..

Approximate the value of (1.04) 8 by using the first two terms of a binomial expansion. => 3.12 or 0.68 or 0.32 or 1.32..

Use binomial theorem to find the expansion of (1 - x) 5 => 1 - 5x + 10x 2 - 10x 3 - 5x 4 + x 5 or 1- x + x 2 - x 3 + x 4 - x 5 or 1 - 5x + 10x 2 - 10x 3 + 5x 4 - x 5 or 1- x 5..

Find the product of the two binomials (3 y + 4) and (5 y + 4). => 15 y 2 + 32 y + 4 or 15 y 2 + 20 y + 16 or 3 y 2 + 32 y + 16 or 15 y 2 + 32 y + 16..

When can the normal distribution be used as an approximation to the binomial distribution? => n . p = 5, n . q = 5 or n . p ≤ 5, n . q ≤ 5 or n . p > 5, n . q < 5 or n . p ≥ 5, n . q ≥ 5..

A binomial experiment should satisfy which of the following requirements? I. Each trial can have only 2 outcomes or outcomes that can be reduced to 2 outcomes. II. There must be a fixed number of trials. III. The outcomes of each trial must be independent of each other..

Write the expansion of ( x 2 + 2) 4 using the binomial theorem. => x 8 + 1 6 or x 8 + 8 x 6 + 2 4 x 4 + 3 2 x 2 + 1 6 or ( x 2 + 4)( x 2 + 4)( x 2 + 4)( x 2 + 4) or x 8 + 8 x 5 + 2 4 x 4 + ..