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A binomial of degree 20 in the following is:(a) 20x + 1 (b) x/20 + 1 (c) x20 +1 (d) x2+20

Question

A binomial of degree 20 in the following is:(a) 20x + 1 (b) x/20 + 1 (c) x20 +1 (d) x2+20

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Solution

The binomial of degree 20 in the options provided is (c) x^20 + 1.

Here's why:

A binomial is a polynomial with two terms. The degree of a polynomial is the highest power of the variable in the polynomial.

Looking at the options:

(a) 20x + 1: This is a binomial, but its degree is 1 (the power of x is 1). (b) x/20 + 1: This is also a binomial, but its degree is 1 (the power of x is 1). (c) x^20 + 1: This is a binomial and its degree is 20 (the power of x is 20). (d) x^2 + 20: This is a binomial, but its degree is 2 (the power of x is 2).

So, the only binomial of degree 20 is (c) x^20 + 1.

This problem has been solved

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