We at ask-math believe that educational material should be free for everyone. Please use the content of this website for in-depth understanding of the concepts. Additionally, we have created and posted videos on our youtube.
We also offer One to One / Group Tutoring sessions / Homework help for Mathematics from Grade 4th to 12th for algebra, geometry, trigonometry, pre-calculus, and calculus for US, UK, Europe, South east Asia and UAE students.
Affiliations with Schools & Educational institutions are also welcome.
Please reach out to us on [email protected] / Whatsapp +919998367796 / Skype id: anitagovilkar.abhijit
We will be happy to post videos as per your requirements also. Do write to us.
This section is about polynomial worksheet.
Q.1 Classify the following as monomials, binomials and trinomials :
– 4y + 3
+ 4x 2
Q.2 Write the coefficients of x2 in each of the following :
b) x + x2
c) 3x + 4y – 5z
+ 2xy + 3y2
Q.3 Write the degree each of the following :
b) 4 – y2
c) 5t – 3
Q.4. Classify the following as linear, quadratic and cubic polynomials :
b) x – x3
c) y + y2
d) 1 + x
Q.5 Find the value of the polynomial 5x – 4x2 + 3 at :
a) x = 0 b) x = - 1 c) x = 2
Q.6 Find the value of each of the following polynomials at indicated value of variables :
a) p(x) = 5x2
– 3x + 7 at x = 1
b) p(y) = 3y3
– 4y + 4 at y = 2
c) p(t) = 4t4
+ 6 at t = a
Check whether – 2 and 2 are zeroes of the polynomial x + 2 .
Find the zero of the polynomial p(x) = 2x + 1.
Verify whether 2 and - 2 are zero of the polynomial x2
– 4 .
Verify whether 2 and 0 are zero of the polynomial x2
– 2x .
Find the value of the following :
– 3x + 1)(x – 1) when x = 3
– 4x – 3) when x = - 1.
Q.12 Evaluate the following for given values of the variables :
– x + 1 for x = 2
+ x + 1 for x = - 1.
Q.13 Find the remainder and quotient in each of the following :
a) Divide x4
– 1 by x – 1 .
b) Divide x3
+ 5x – 8 by x – 2.
Find the remainder when 4x3
+ 2x – 4 is divided by :
a) x – 1 b) x – 2 c) x + 1
d) x – 4 e) x + 2
Q.15. Using remainder theorem, find the remainder :
a) Divide x6
– 1 by x – 1
b) Divide x3
+ 1 by x + 1 .
Find the remainder when x4
+ x + 1 is divided by x + 1.
Q.17 If x – 2 is a factor of each of the following polynomials, then find the value of a in each case :
– 3x + 5a
+ ax – 1
+ 2ax + 4.