The level of pressure on Class 10 students today is huge. They have to deal with complex concepts for chapters like Polynomials, their questions and prepare on a major levels for Board exams too. Amidst all this, if the students are unable to grasp the topics and chapters like Polynomials that they have to prepare for, the whole appearing-for-exams routine is pointless. For students who wish to excel in CBSE Class 10 subjects like Math and topics like Polynomials, there are some amazing ways to study. Study material for Class 10 CBSE students of Math available with us includes animated videos, revision notes and chapter tests. Login for free now to get access to Free NCERT solutions and much more!
Polynomials Chapter Study Material
In this chapter, we will study about Polynomials and its degree, Values of polynomial at various points, Zeros of polynomials, Division of polynomials, Remainder and factor theorem, Factorization of polynomials and Solving polynomials using identities.
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Polynomials Math Class 10 NCERT Solutions
Question 1: Give one example each of a binomial of degree 35, and of a monomial of degree 100.
Question 2:
Find the zero of the polynomial in each of the following cases:
(i) p(x) = x + 5 (ii) p(x) = x − 5 (iii) p(x) = 2x + 5
(iv) p(x) = 3x − 2 (v) p(x) = 3x (vi) p(x) = ax, a ≠ 0
(vii) p(x) = cx + d, c ≠ 0, c, are real numbers.
Question 3: Find the remainder when x3 − ax2 + 6x − a is divided by x − a.
Question 4: Check whether 7 + 3x is a factor of 3x3 + 7x.
Question 5: Use the Factor Theorem to determine whether g(x) is a factor of p(x) in each of the following cases:
(i) p(x) = 2x3 + x2 − 2x − 1, g(x) = x + 1
(ii) p(x) = x3 + 3x2 + 3x + 1, g(x) = x + 2
(iii) p(x) = x3 − 4 x2 + x + 6, g(x) = x − 3
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