How many terms are in the binomial expansion of (2x + 3)5? 4 5 6 7
2 answers:
Answer:- There are 6 terms in the binomial expansion of .
Explanation:-
In algebra, the binomial theorem trace the algebraic expansion of powers of a binomial.
Binomial theorem tells that for any positive integer m, the mth power of the sum of two numbers p and q can be expressed as the sum of n + 1 terms .
Given equation:-, where m=5
Thus, the number of terms in the given expansion is m+1=5+1= 6 terms.
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Given:
Polynomial is .
To find:
The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.
Solution:
The sum of given polynomial and the square of the binomial (x-8) is
On combining like terms, we get
Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is .