Find the best tutors and institutes for Class 9 Tuition
Search in
Classify the following as linear, quadratic and cubic polynomials:(i) (ii) 3t (iii)
(iv)
(v)
(vi) 1 + x (vii)
(i) 2 + x2 + x is a quadratic polynomial as its degree is 2.
(ii) x - x3 is a cubic polynomial as its degree is 3.
(iii) y + y2 + 4 is a quadratic polynomial as its degree is 2.
(iv) 1 + x is a linear polynomial as its degree is 1.
(v) 3t is a linear polynomial as its degree is 1.
(vi) r2 is a quadratic polynomial as its degree is 2.
(vii) 7x3 is a cubic polynomial as its degree is 3.
Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer(i) (ii)
(iii)
(iv)
(v)
(i) 
Yes, this expression is a polynomial in one variable x.
(ii) 
Yes, this expression is a polynomial in one variable y.
(iii) 
No. It can be observed that the exponent of variable t in term 
is 
, which is not a whole number. Therefore, this expression is not a polynomial.
(iv) 
No. It can be observed that the exponent of variable y in term
is −1, which is not a whole number. Therefore, this expression is not a polynomial.
(v) 
No. It can be observed that this expression is a polynomial in 3 variables x, y, and t. It is not a polynomial.
Write the coefficients of in each of the following:π (i)
(ii)
(iii)
(iv)
(i) 
In the above expression, the coefficient of 
is 1.
(ii) 
In the above expression, the coefficient of is −1.
(iii) 
In the above expression, the coefficient of is
.
(iv) 
In the above expression, the coefficient of is 0.
Give one example each of a binomial of degree 35, and of a monomial of degree 100.
Degree of a polynomial is the highest power of the variable in the polynomial.
Binomial has two terms in it. Therefore, binomial of degree 35 can be written as 
.
Monomial has only one term in it. Therefore, monomial of degree 100 can be written as x100.
Write the degree of each of the following polynomials:(i) (ii)
(iii)
(iv) 3
Degree of a polynomial is the highest power of the variable in the polynomial.
(i) 
This is a polynomial in variable x and the highest power of variable x is 3. Therefore, the degree of this polynomial is 3.
(ii) 
This is a polynomial in variable y and the highest power of variable y is 2. Therefore, the degree of this polynomial is 2.
(iii) 
This is a polynomial in variable t and the highest power of variable t is 1. Therefore, the degree of this polynomial is 1.
(iv) 3
This is a constant polynomial. Degree of a constant polynomial is always 0.
How helpful was it?
How can we Improve it?
Please tell us how it changed your life *
Please enter your feedback
UrbanPro.com helps you to connect with the best Class 9 Tuition in India. Post Your Requirement today and get connected.
Find best tutors for Class 9 Tuition Classes by posting a requirement.
Get started now, by booking a Free Demo Class
