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Define a polynomial with real coefficients.

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A polynomial with real coefficients is one in which the coefficients are real numbers

A polynomial with imaginary coefficients is one in which the coefficients are real numbers

A polynomial with no coefficients is one in which the coefficients are real numbers

A polynomial with negative coefficients is one in which the coefficients are real numbers

answer is A.

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Detailed Solution

Given to define a polynomial with real coefficients.
Consider the polynomial

f (x) = c n x n + c n − 1 x n − 1 + … + c 1 x + c 0

.
Coefficients of variable x are,

c n, c n − 1, …, c 1, c 0

.
Polynomial

f x

is called a polynomial with real coefficients if these coefficients are real numbers.
A polynomial with real coefficients is one in which the coefficients are real numbers.
Hence, correct option is 1.

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