Q.

Define a polynomial with real coefficients.


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a

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

b

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

c

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

d

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 n1 x n1 ++ c 1 x+ c 0   .
Coefficients of variable x are, c n , c n1 ,, 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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