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Q.

Which of the following is a quadratic polynomial in one variable?


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a

2x3+5

b

2x2+2x-2

c

x2

d

2x2+y2  

answer is C.

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Detailed Solution

Here, we have to find the quadratic polynomial in one variable out of given options.
A quadratic polynomial is a kind of polynomial in which the variable’s highest degree is 2.
In option 1), 2x3+5 is not a polynomial because it has a fractional degree.
In option 2), 2x2+2x-2 is not a polynomial because by definition, a polynomial is an expression that is given by a single term or by the sum of terms with real number coefficients, where the power of each variable is a non-negative integer.
In option 3), x2 is a quadratic polynomial in one variable because the degree of x is 2.
In option 4), 2x2+y2 is a quadratic polynomial because the degree of x and y are 2 but in two variables.
Hence, x2 is a quadratic polynomial.
Hence, option 3 is correct.
 
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