Class 9 Maths Important Questions for Polynomial

Match the column

A.

B.

Table Type

P(x)=5x² -3x+7

Multiple choice Questions

Question 1
Find the remainder when x⁴+x³-2x²+x+1 is divided by x-1 (a)1
(b)5
(c)2
(d)3
Solution
( c)

Question 2
Which of these identities is not true?

Solution
(d)

True or False statement

1. P(x) =x-1 and g(x) =x²-2x +1 . p(x) is a factor of g(x)
2. The factor of 3x² –x-4 are (x+1)(3x-4)
3. Every linear polynomial has only one zero
4. Every real number is the zero’s of zero polynomial
5. A binomial may have degree 4
6. 0,2 are the zeroes of x²-2x
7. The degree of zero polynomial is not defined

Solution

1. True, as g(1)=0
2. True, we can get this by split method
3. True
4. True
5. True , example x⁴ +1
6. True
7. True

Question
Factorize following

1. x² +9x+18
2. 3x³ –x²-3x+1
3. x³-23x²+142x-120
4. 1+8x³

Solution
(a) (x+6)(x+3)
(b) (3x-1)(x-1)(x+1)
(c)(x-1)(x-10)(x-12)
(d) (2x+1)(4x²-2x+1)

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• Notes
  • Polynomial Expression
  • Adding & subtracting Polynomials
  • Multiplying & dividing Polynomials
  • How to factor polynomials
• NCERT Solutions
  • NCERT Solution Exercise 2.1 Class 9
  • NCERT Solution Exercise 2.2 Class 9
  • NCERT Solution Exercise 2.4 and 2.5 Class 9
• Assignments
  • Polynomial Class 9 Formative Assignment
  • Dividing Polynomial worksheet(download)
  • Factoring polynomial worksheet(download)
  • Polynomial Class 9 Test Paper
• Revision sheet
  • Polynomial Class 9 Cheatsheet

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Class 9 Maths Class 9 Science