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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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