Q. 11 D4.0( 4 Votes )

Which of the followings is a second degree polynomial?
A.

B. x3 + x

C. x3 + 2x + 6

D. x2 + 5x + 6

Answer :

For option (a),


We have √x – 4.


Observe the two terms, x has an exponent of 1/2.


But for second degree polynomials, the degree should be 2 (that is, largest exponent of x should be 2)


√x – 4 is not a second degree polynomial.


For option (b),


We have x3 + x.


The degree of this expression is 3 (largest exponent of x is 3).


But for second degree polynomials, the degree should be 2 (that is, largest exponent of x should be 2)


x3 + x is not a second degree polynomial.


For option (c),


We have x3 + 2x + 6.


The degree of this expression is also 3 (largest exponent of x is 3).


But for second degree polynomials, the degree should be 2 (that is, largest exponent of x should be 2)


x3 + 2x + 6 is not a second degree polynomial.


For option (d),


We have x2 + 5x + 6.


The degree of this expression is 2 (largest exponent of x is 2).


This satisfies the criteria of second degree polynomial.


x2 + 5x + 6 is second degree polynomial.


Thus, option (d) is correct.

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