Class 9  >  Mathematics (Maths) Class 9  >  HOTS Questions: Polynomials

HOTS Questions: Polynomials - Notes | Study Mathematics (Maths) Class 9 - Class 9

1 Crore+ students have signed up on EduRev. Have you?

Q.1. If  p(x) = x2 – 2√2 x + 1, then find  p (2√2) .
Sol. Since, p(x) = x– 2 √2 x + 1  
HOTS Questions: Polynomials - Notes | Study Mathematics (Maths) Class 9 - Class 9
= 4 (2) – 4 (2) + 1 = 8 – 8 + 1 = 1


Q.2. If  a + b + c = 9, and ab + bc + ca = 26, find a+ b2 + c2
Sol. (a + b + c)2 = (a+ b+ c2) + 2 (ab + bc + ca)
⇒ (9)= (a2 + b+ c2) + 2 (26)  = (a+ b2 + c2) + 52
⇒ a2 + b+ c2 =92– 52 = 81– 52 = 29


Q.3. Factorise :HOTS Questions: Polynomials - Notes | Study Mathematics (Maths) Class 9 - Class 9
Sol.   HOTS Questions: Polynomials - Notes | Study Mathematics (Maths) Class 9 - Class 9

HOTS Questions: Polynomials - Notes | Study Mathematics (Maths) Class 9 - Class 9HOTS Questions: Polynomials - Notes | Study Mathematics (Maths) Class 9 - Class 9HOTS Questions: Polynomials - Notes | Study Mathematics (Maths) Class 9 - Class 9HOTS Questions: Polynomials - Notes | Study Mathematics (Maths) Class 9 - Class 9HOTS Questions: Polynomials - Notes | Study Mathematics (Maths) Class 9 - Class 9


Q.4. If a, b, c are all non-zero and a + b + c = 0, prove that HOTS Questions: Polynomials - Notes | Study Mathematics (Maths) Class 9 - Class 9
Sol. ∵ a + b + c = 0  ⇒  a3 + b3 + c3 – 3abc = 0
or a+ b+ c3 = 3abc ⇒ HOTS Questions: Polynomials - Notes | Study Mathematics (Maths) Class 9 - Class 9



Q.5. Prove that (a + b + c)3 – a3 – b3 – c3 = 3(a + b) (b + c) (c + a)
Sol. 
HOTS Questions: Polynomials - Notes | Study Mathematics (Maths) Class 9 - Class 9 
HOTS Questions: Polynomials - Notes | Study Mathematics (Maths) Class 9 - Class 9

The document HOTS Questions: Polynomials - Notes | Study Mathematics (Maths) Class 9 - Class 9 is a part of the Class 9 Course Mathematics (Maths) Class 9.
All you need of Class 9 at this link: Class 9
88 videos|397 docs|109 tests
Download as PDF

Download free EduRev App

Track your progress, build streaks, highlight & save important lessons and more!

Related Searches

HOTS Questions: Polynomials - Notes | Study Mathematics (Maths) Class 9 - Class 9

,

HOTS Questions: Polynomials - Notes | Study Mathematics (Maths) Class 9 - Class 9

,

shortcuts and tricks

,

Extra Questions

,

Objective type Questions

,

pdf

,

Sample Paper

,

HOTS Questions: Polynomials - Notes | Study Mathematics (Maths) Class 9 - Class 9

,

Previous Year Questions with Solutions

,

Important questions

,

Summary

,

ppt

,

study material

,

Free

,

mock tests for examination

,

past year papers

,

MCQs

,

practice quizzes

,

Exam

,

Viva Questions

,

video lectures

,

Semester Notes

;