Q. 14.3( 18 Votes )

Let us write whic

Answer :

(i) Since all the exponents (power) of variable(x) are whole no. (i.e., zero or positive integers)

2x6 – 4x5 + 7x2 + 3 is a polynomial.


(Note: The degree is the value of the greatest (highest) exponent of any expression (except the constant) in the polynomial. To find the degree all that you have to do is find the largest exponent in the polynomial).


And, since here the highest power is 6,


It is a polynomial of degree 6.


(ii) Since all the exponents (power) of variable(x) are not whole no. (i.e., zero or positive integers)


x–2 + 2x–1 + 4 is not a polynomial.


(iii) Since all the exponents (power) of variable(y) are whole no. (i.e., zero or positive integers)


is a polynomial.


And, since here the highest power is 3,


It is a polynomial of degree 3.


(iv)



Since all the exponents (power) of variable(x) are not whole no.(i.e., zero or positive integers)


is not a polynomial.


(v) Since all the exponents (power) of variable(x) are whole no. (i.e., zero or positive integers)


x51 – 1 is a polynomial.


And, since here the highest power is 51,


x51 – 1 is a polynomial of degree 51.


(vi)


Since all the exponents (power) of t are not whole no.(i.e., zero or positive integers)


is not a polynomial.


(vii) 15 is a constant polynomial as there is no variable present in that.


And, therefore the highest power is 0


15 is a polynomial with degree 0.


(viii) 0 is a constant polynomial (zero polynomial) as there is no variable present in that.


0 is a polynomial with degree 0.


(ix)


Since all the exponents (power) of variable(z) are not whole no.(i.e., zero or positive integers)


is not a polynomial.


(x) Since all the exponents (power) of variable(y) are whole no. (i.e., zero or positive integers)


y3 +4 is a polynomial.


And, since here the highest power is 3,


y3 +4 is a polynomial of degree 3.


(xi)


Since all the exponents (power) of variable(x) are whole no.(i.e., zero or positive integers)


And, since here the highest power is 2


is a polynomial of degree 2.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

Which of the follWest Bengal Mathematics

I write twoWest Bengal Mathematics

Which of the follWest Bengal Mathematics

In the follWest Bengal Mathematics

Which of the follWest Bengal Mathematics

If (3x – 1)7West Bengal Mathematics

The degree of theWest Bengal Mathematics

If f(x) = x2West Bengal Mathematics

Which of the follWest Bengal Mathematics

By calculating thWest Bengal Mathematics