Most Important Polynomials Questions Class X By BK Sir
Important questions are vital because they focus on key concepts, ensuring a strong foundation in your subject. They often appear in exams, helping you prioritize your study time effectively. These questions bridge theory and practice, enhancing real-world understanding. Additionally, they develop critical thinking and problem-solving skills, making your learning more impactful. By concentrating on these, you streamline your efforts and gain deeper insights into the subject.
In short, important questions are a roadmap to success—academically and beyond!
IMPORTANT QUESTIONS FOR CLASS-10: NCERT TEXT BOOK |
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S.N | Page Number | Question Number(s) |
01 | 17 | Remark |
02 | 17 | Example-1 |
03 | 18 | Q-1 |
04 | 20 | Example-2 |
05 | 20 | Example-3 |
06 | 21 | Example-4 |
07 | 23 | Q-1 |
08 | 23 | Q-2 |
Remark: In general, given a polynomial p(x) of degree n, the graph of y = p(x)intersects the x-axis at at most n points. Therefore, a polynomial p(x) of degree n has at most n zeroes.
Example 1 : Look at the graphs in Fig. 2.9 given below. Each is the graph of y = p(x), where p(x) is a polynomial. For each of the graphs, find the number of zeroes of p(x).
Q 1: The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case.
Example 2 : Find the zeroes of the quadratic polynomial x2+ 7x + 10, and verify the relationship between the zeroes and the coefficients.
Example 3 : Find the zeroes of the polynomial x2 – 3 and verify the relationship between the zeroes and the coefficients.
Example 4 : Find a quadratic polynomial, the sum and product of whose zeroes are – 3 and 2, respectively.
Q1: Find the zeroes of the following quadratic polynomials and verify the relationship between
the zeroes and the coefficients.
(i) x2– 2x – 8 (ii) 4s2 – 4s + 1 (iii) 6x2– 3 – 7x (iv) 4u2+ 8u (v) t2– 15 (vi) 3x2– x – 4
Q2: Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
CBSE CLASS-10: NCERT EXEMPLAR |
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S.N | Page Number | Question Number(s) |
01 | 8,9,10 | MCQ |
02 | 12 | SQ-1 |
03 | 13 | Exercise-2.3, Qs-6,7 |
04 | 13 | SQ-1 |
05 | 14 | Exercise-2.4, Q-1 |