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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.
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