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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