Question

A binomial of degree 20 in the following is: *

20x + 1

. x power 20 +1

x power 2+20

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Answer 1

Answer:

x power 20 +1

Step-by-step explanation:

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Answer 2

Answer:

A binomial of degree 20 is x²⁰ + 1.

Step-by-step explanation:

The binomial theorem is a result in algebra that describes the expansion of a power of a binomial, which is a polynomial with two terms. The theorem states that, for any non-negative integer n and any real numbers a and b, the nth power of the binomial (a + b) can be expressed as the sum of the terms:

$(a+b)^n = a^n +\ ^nC_1a^{n-1}b\ +\ ^nC_2a^{n-2}b^2\ +\ ^nC_3a^{n-3}b^3\ +....+\ ^nC_{n-1}ab^{n-1}\ +\ b^n$

where "$^nC_k$" is called the binomial coefficient, that is equal to $\frac{n!}{k!(n-k)!}$.

For example, the binomial expansion of (a + b)² is:

(a + b)² = a² + 2ab + b² , where n = 2

and the expansion of (a + b)³ is:

(a + b)³ = a³+ 3a²b + 3ab² + b³

The binomial theorem can also be used to find the nth term of a binomial expansion. The nth term is given by the coefficient  $^nC_ka^{(n-k)}b^k$.

To learn more about the binomial theorem, click on the link below:

https://brainly.in/question/1618109

To learn more about binomial expansion, click on the link below:

https://brainly.in/question/54103632

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