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Class 9 Maths Important Questions for Polynomial






Match the column
Degree of polynomial
Polynomial
1
x5 -3x2 +1
2
x-1
3
x4-3x2+2+ 3x3
4
x2 -2x-1
5
1-3x3
Match the column
type of polynomial
Polynomial
monomial
x5 -3x2 +1
binomial
x-1
trinomial
x4-3x2+2+ 3x3
No appropriate match
x2 -2x-1
3x3
Table Type
P(x)=5x2 -3x+7
P(0)
P(1)
P(5)
P(-1)
P(-2)
Multiple choice Questions
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)
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
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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