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## NCERT Solutions for Class 10 Maths Chapter 2 Exercise 2.3

If you need solutions in Hindi, Click for Hindi Medium solutions of 10 Maths Exercise 2.3

#### 10 Maths Exercise 2.3 Solutions in Hindi Medium

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##### Practice Questions For CBSE Exams – 2018

###### Class 10 Maths – Polynomials

- What must be added to 4×4 + 2×3 – 2×2 + x – 1 so that the resulting polynomial is divisible by x2 – 2x – 3? [Answer: 61x – 65]
- Find all zeroes of the polynomial 2×3 + x2 – 6x – 3 if two of its zeroes are √3 and –√3. [Answer: √3, – √3, -1/2, -1/2]
- If √2 is zero of (6×3 + √2×2 – 10x – 4√2), find its other zeroes. [Answer: -√2/2, – 2√2/3]
- If two zeroes of x4 – 6×3 – 26×2 + 138x – 35 are (2 ± √3), find other zeroes. [Answer: -5, 7]
- On dividing the polynomial x3 – 5×2 + 6x – 4 by a polynomial g(x), quotient and remainder are (x – 3) and (–3x + 5) respectively. Find g(x). [Answer: x2 – 2x + 3]
- If sum and product of two zeroes of the polynomial x3 + x2 – 3x – 3 are 0 and 3 respectively, find all zeroes of the polynomial. [Answer: √3, -√3, -1]
- If –1/2 is a zero of the polynomial 2×3 + x2 – 6x – 3, find the sum and product of its other two zeroes. [Answer: 0, 3]
- Obtain all zeroes of the polynomial 2×4 – 2×3 – 7×2 + 3x + 6 if two factors of this polynomial are (x – 2) and (x + 1). [Answer: √(3/2), -√(3/2)]
- Sum and product of two zeroes of x4 – 4×3 – 8×2 + 36x – 9 are 0 and – 9 respectively. Find the sum and product of its other two zeroes. [Answer: 4, 1]
- A person distributes k books to some needy students. If k is a zero of the polynomial x2 – 100x – 20,000, then

(i) find the number of books distributed

(ii) Which moral values depicted by the person impressed you? [Answer: 200, love, care, kindness, etc.]