Class 9 Maths Important Questions for Polynomial

Here we are trying to give the Class 9 Maths Important Questions for Polynomial. It tests the basic concepts and at the same makes the student comfortable with the questions

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)