the product of any two binomials is a binomial?

Binomial Theorem for Fractional Index - For any rational number n, We accept this expansion without proof. The restriction on x is not required when n is a natural number. Now, we shall see that when n is a natural number, then the above expansion coincides with that as given earlier. Let..

For any rational number n, We accept this expansion without proo..

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)..

Alternative Proof of Binomial Theorem for Positive Integral Index (Combinatorial Method). We have, (a + b) n = (a + b) (a + b) ....... n times. The terms on the RHS are obtained by taking one letter from each factor and multiplying them together. Choosing 'a' from all the factors, ..

Approximate (0.99) 30 to the nearest tenth using the first two terms of a binomial expansion. => 0.03 or 0.3 or 0.07 or 0.7..

Theorem - Using Binomial theorem, prove tha..

Select the correct statement(s): I. A binomial experiment has only 2 trials. II. The sum of the probabilities of all outcomes in a probability distribution is 1. III. Testing by administering a drug on 100 patients to determine whether it is effective or not is a binomial..

We have, (a + b) n = (a + b) (a + b) ....... n times. The terms on the RHS are obtained by taking one letter from each factor and multiplying them together. Choosing 'a' from all the factors, we get the term a n..

Use binomial theorem to find the expansion of ( x 2 + 2) 4 . => x 8 + 8x 6 + 24x 4 + 32x 2 + 16 or x 8 + 8x 5 + 24x 4 + 24x 2 + 8 or x 8 + 8x 5 + 24x 4 + 24x 2 + 8 or x 8 + 16..

Find the eighth term in the binomial expansion of ( x - 2) 7 . => -512 or 64 or 256 or -128..