Class 9 Mathematics MCQ Polynomials

Question : If x + 2 is a factor of x³ – 2ax² + 16, then value of a is
(a) 3
(b) 1
(c) 4
(d) 2

Question : One of the linear factors of ​3x² + 8x + 5 is
(a) (x+1)
(b) (x-4)
(c) (x-2)
(d) (x+2)

Question : The value of p for which x + p is a factor of x²+ px + 3 – p is:
(a) -3
(b) 3
(c) 1
(d) -1

Question : √3 is a polynomial of degree:
(a) 2
(b) 0
(c) 1
(d) 1/2

Question : For what value of b, is the polynomial x³ – 3x² + bx – 6 divisible by x – 3?
(a) 1
(b) 2
(c) 3
(d) -3

Question : The zero of the polynomial f(x) = 2x+7 is
(a) 2/7
(b) -2/7
(c) 7/2
(d) -7/2

Question : The value of 2492 – 2482 is :
(a) 12
(b) 477
(c) 487
(d) 497

Question : Which one of the following is a polynomial ?
(a) x²/2 − 2/x²
(b) √2x − 1
(c) x² + 3x³/2/√x
(d) x − 1/ x + 1

Question : If a + b + c = 0, then a³+ b³+ c³ is equal to
(a) 0
(b) abc
(c) 3abc
(d) 2abc

Question : If p (x) = x² − 2√2x + 1, then p(2√2) is equal to
(a) 0
(b) 1
(c) 4√2
(d) 8√2 + 1

Question : The coefficient of x in the expansion of (x + 3)³ is :
(a) 1
(b) 9
(c) 18
(d) 27

Question : Which of the following is a trinomial in x ?
(a) x³+ 1
(b) x³+ x² + x
(c) x√x + √x + 1
(d) x³+ 2x

Question : The polynomial (x – a) is a factor of the polynomial x⁴ – 2x² + kx + k, where k is a constant. Which of these is the correct relation between a and k ?
(a) k = a²(2 – a²)/1 + a
(b) k = a²(2 + a²)/1 + a
(c) k = a²(2 + a²)/1 – a
(d) k = a²(2 – a²)/1 – a

Question : Which of these is a factor of the polynomial p(x) = x³ + 4x + 5 ?
(a) (x – 1)
(b) (x + 1)
(c) (x – 2)
(d) (x + 2) 

Question : If p(x) = 2 + x/2 + x² – x³/3 , then p(– 1) is :
(a) 15/6
(b) 17/6
(c) 1/6
(d) 13/6 

Question : Given that m + 2, where m is a positive integer, is a zero of the polynomial q(x) = x² – mx – 6. Which of these is the value of m ?
(a) 1
(b) 2
(c) 3
(d) 4 

Question : Zero of the polynomial p(x), where p(x) = ax, a≠0 is :
(a) 1
(b) a
(c) 0
(d) 1/a 

Question : (1 + 3x)³ is an example of :
(a) monomial
(b) binomial
(c) trinomial
(d) none of these

Question : Which of the following is a polynomial?
(a) x²/3 – 5/x²
(b) 2x+1/3x+4
(c) √5x + 7
(d) x³ + 3x^5/2/√x

Question : Match the columns 

(a) 1 (c); 2 (e); 3 (d); 4 (a); 5 (b)
(b) 1 (d); 2 (e); 3 (a); 4 (c); 5 (b)
(c) 1 (e); 2 (d); 3 (b); 4 (c); 5 (a)
(d) 1 (b); 2 (e); 3 (a); 4 (c); 5 (d)

Question : What could be the breadth and height of the cuboid?
(a) (x + 2) and (x – 1)
(b) (x – 2) and (x + 1)
(c) (x + 2) and (x + 1)
(d) (x – 2) and (x – 1) 

Question : If length of the cuboid is (4x – 3), then value of r is
(a) 11
(b) 4
(c) 3
(d) 2 

Question : Cost of the gift given by Smriti at the rate of 5 per cubic units will be
(a) 180
(b) 90
(c) 900
(d) 450 

Question : Degree of the polynomial is
(a) 4
(b) 3
(c) 2
(d) 1 

Question : If x = 3, then dimensions of the cuboid will be
(a) 9, 1 and 4
(b) 9, 5 and 2
(c) 9, 5 and 4
(d) 9, 1 and 2 

Question : x²-2x+1 is a polynomial in:
(a) One Variable
(b) Two Variables
(c) Three variable
(d) None of the above

Question : The coefficient of x² in 3x³+2x²-x+1 is:
(a) 1
(b) 2
(c) 3
(d) -1

Question : A binomial of degree 20 in the following is:
(a) 20x + 1
(b) x/20 + 1
(c) x²⁰ +1
(d) x²+20

Question : The degree of 4x³-12x²+3x+9 is
(a) 0
(b) 1
(c) 2
(d) 3

Question : x² – x is ________ polynomial.
(a) Linear
(b) Quadratic
(c) Cubic
(d) None of the above

Question : x – x³ is a ________ polynomial.
(a) Linear
(b) Quadratic
(c) Cubic
(d) None of the above

Question : 1+3x is a _________ polynomial.
(a) Linear
(b) Quadratic
(c) Cubic
(d) None of the above

Question : The value of f(x) = 5x−4x²+3 when x = -1, is:
(a) 3
(b) -12
(c) -6
(d) 6

Question : The value of p(t) = 2+t+2t²−t³ when t=0 is
(a) 2
(b) 1
(c) 4
(d) 0

Question : Which of the following is an example of the quadratic polynomial?
(a) 7x+3
(b) 2x²+x-1
(c) x+3x³-9
(d) None of the above

Question : Find the value of 7²-5².
(a) 22
(b) 23
(c) 24
(d) 25

Question : The zero of the polynomial f(x) = 2x+7 is
(a) 2/7
(b) -2/7
(c) 7/2
(d) -7/2

Question : What is the degree of the polynomial √3?
(a) 0
(b) 1
(c) 1/2
(d) 2

Question : The degree of the constant polynomial is
(a) 0
(b) 1
(c) 2
(d) 3

Question : One of the linear factors of 3x²+8x+5 is
(a) (x+1)
(b) (x-2)
(c) (x+2)
(d) (x-4)

Question : The coefficient of x in 7x²+6x-2 is 
(a) 2
(b) 6
(c) -2
(d) 7

Question : If x²+kx+6 = (x+2)(x+3) for all k, find the value of k.
(a) -1
(b) 1
(c) 3
(d) 5

Question : What is the zero of the polynomial p(x)=cx+d?
(a) -c
(b) -d
(c) -d/c
(d) d/c

Question : The zero of the polynomial p(x) = -5x+5 is
(a) 0
(b) -5
(c) -1
(d) 1

Question : which of the following is a constant polynomial?
(a) 4x+1
(b) 3
(c) 2x²
(d) 6x+3