CBSE Class 9 Mathematics Polynomials Assignment Set 02

Question. Find the coefficient of x2 in the product of (x- 1) (1 - 2x).
(A) -3
(B) 3
(C) - 2
(D) 1
Answer : A

Question. If x + 1/x = 3, find the value of x² + 2 ?
(A) 9
(B) 11
(C) 7
(D) 8
Answer : C

Question. Find one of the factors of (x- 1) - (x²- 1 ).
(A) x² - 1
(B) X + 1
(C) x - 1
(D) x + 4
Answer : C

Question. What is the product of (y - 1/2) (y + 1/y) (y² + 1/y²) ?
(A) y⁴ + 1/y⁴
(B) y² + `1/y<sup>2</sup> + 2
(C) y<sup>4</sup> - `1/y⁴
(D) y³ + 1/y³ - 2
Answer : C

Question. If x² + x + 1 is a factor of the polynomial 3x³ + 8x² + 8x + 3 + 5k, what is the value of k?
(A) 0
(B) 2/5
(C) 5/2
(D) -1
Answer : B

Question. If (x - 1) is a fact or of polynomial f(x) but not of g(x), it must be a factor of which of the following polynomials?
(A) f(x) g (x)
(B) -f(x) + g(x)
(C) f(x) - g(x)
(D) {f(x) + g(x)}g(x)
Answer : A

Question. If (x -a) (x- b) are factors of polynomial g(x), which of the following statements is correct?
(A) g(a) = o, g(b) i: 0
(B) g(a) = 0, g(b) = 0
(C) g(a) i: 0, g(b) i: 0
(D) g(a) i: 0, g(b) = 0
Answer : B

Question. If x²⁰¹⁴ + 2014 is divided by (x + 1), what is the remainder?
(A) 2014
(B) 1
(C) 2013
(D) 2015
Answer : D

Question. If x² + kx + 6 = (x + 2) (x + 3) for all x, what is the value of k?
(A) 1
(B) 6
(C) 5
(D) 3
Answer : C

Question. Find the zeroes of the polynomial p(z) = (4z + π) (z - 4π).
(A) 4π - π/4
(B) -4π, - π/4
(C) 4π, π/4
(D) -4n, - π/4
Answer : A

Question. If (x + 1) is a factor of xⁿ + 1, which of the following statement s is true?
(A) n is an odd integer
(B) n is an even integer
(C) n is a negative integer
(D) n is a positive integer
Answer : A

Question. What is the value of (2.3)³ - 0.027 / (2.3)² + 0.69 + 0.09 ?
(A) 2
(B) 3
(C) 2.327
(D) 2.273
Answer : A

Question. Whar are the factors of x3 + x2 - 1/.x2 + 1/x3

Answer : C

Question. When x³ - 2x² + ax - b is divided by x² - 2x - 3, the remainder is x - 6. Find the values of a and b.
(A) -2 and - 6
(B) 2 and - 6
(C) -2 and 6
(D) 2 and 6
Answer : C

Question. If (x + y)³ - (x- y)³ - 6y (x² - y²) = ky³, find k.
(A) 1
(B) 2
(C) 4
(D) 8
Answer : D

Question. Factorise a²/b² + 2 + b²/a²
(A) (a/b + b/a)² 
(B) (1 + a/b)²
(C) (1 -  b/a)²
(D) (b/a - a/b)²
Answer : A

Question. EvaIuate (3.78)² - (2.22)2 / 1.56
(A) 6
(B) 3
(C) 9
(D) 15
Answer : A

Question. Let R₁ and R₂ be t he remainders when the polynomials f(x) = 4x³ + 3x² - 12ax - 5 and g(x) = 2x³ + ax² - 6x + 2 are divided by (x - 1) and (x - 2) respectively. If 3R₁ + R₂ + 28 = 0, find the value of'a:
(A) 0
(B) - 1
(C) 1
(D) 32
Answer : C

Question. lf (x - 1)¹ = a₇x⁷ + a₆x⁶ + a₅x⁵ + ....+ a₁ x + a₀' what is the value of a₇ + a₆ + a₅ + ..... + a₁ + a_o ?
(A) 0
(B) 1
(C) 128
(D) 64
Answer : A

Question. Resolve into factors: 1 + a + b + c + ab + bc + ca +abc
(A) (1 + a)(1 + b) (1 + c)
(B) (a + b + c + 1 )(a - b -c)
(C) (a + b)(b + c)(c + a) + 1
(D) (a² + b² + c²)(1 -a - b - c)
Answer : A

Question. Facto rise: 4a² + 9b² + c² + 12ab + 4ac + 6bc.
(A) (2a + 3b + c)²
(B) (a + 3b + 2c)²
(C) (a - 3b + 2c)²
(D) (2a + 3b- c)²
Answer : A

Question. What is the remainder obtained when the polynomial p(x) is divided by (b - ax)?
(A) p(-b/a)
(B) p(a/b)
(C) p(b/a)
(D) P(-a/b)
Answer : C

Question. If a + b + c = 10, a² + b² + c² = 38 and a³ + b³ + c³ = 160, find the value of abc.
(A) 45
(C) 10
(B) 15
(D) 30
Answer : D

Please click the link below to download CBSE Class 9 Mathematics Polynomials Assignment Set B.