CBSE Class 10 Mathematics Polynomials Assignment Set 01

CBSE Class 10 Mathematics Polynomials Assignment Set A. Students are advised to refer to the attached assignments and practise them regularly. This will help them to identify their weak areas and will help them to score better in examination. Parents should download and give the assignments to their children for practice.

Question. The zeroes of the quadratic polynomial x² + 7x + 10 are
(a) -4, -3
(b) 2, 5
(c) -2, -5
(d) -2, 5
Answer : C

Question. A quadratic polynomial, whose zeroes are -2 and 4, is
(a) x² – 2x + 8
(b) x²+ 2x + 8
(c) x²– 2x- 8
(d) 2x²+ 2x-24
Answer : C

Question. The zeroes of the quadratic polynomial x² + kx + k where k ≠ 0,
(a) cannot both be positive
(b) cannot both be negative
(c) are always unequal
(d) are always equal
Answer : A

Question. The zeroes of the quadratic polynomial x² - 27 are
(a) +3√3 ,- 3√3
(b) 3 , 3
(c) 9 ,9
(d) +√3 , - √3
Answer : A

Question. The sum and the product of the zeroes of polynomial 6x² – 5 respectively are
(a) 0, (-6)/5
(b) 0, 6/5
(c) 0, 5/6
(d) 0, (-5)/6
Answer : D

Question. A quadratic polynomial can have at most ______ zeroes.
(a) 0
(b) 1
(c) 2
(d) infinite
Answer : C

Question. If the zeroes of the quadratic polynomial ax²+ bx+ c, where c≠0, are equal, then
(a) c and a have opposite signs
(b) c and b have opposite signs
(c) c and a have same signs
(d) c and b have the same signs
Answer : C

Level 1 (1 mark)

Question. The number of zeroes, the polynomial f(x) = (x – 3)²+ 1 can have is :
(a) 0
(b) 1
(c) 2
(d) 3
Answer : C

Question. The graph of the polynomial p(x) cuts the x-axis 5 times and touches it 3 times. The number of zeroes of p(x) is : (a) 5 (b) 3 (c) 8 (d) 2
Answer : C

3. If the zeroes of the quadratic polynomial x²+ (a + 1)x+ b are 2 and –3, then :
(a) a = –7, b = –1 (b) a = 5, b = –1
(c) a = 2, b = –6 (d) a = 0, b = –6
Answer : D

Question. The zeroes of the quadratic polynomial x² + 89x + 720 are :
(a) both are negative
(b) both are positive
(c) one is positive and one is negative
(d) both are equal
Answer : A

Very Short Answer type Questions

Question. Obtain the zeros of the quadratic polynomial √3x² − 8x + 4 √3 and verify the relation between its zeros and coefficients.
Answer : Zeros of are 2√3 and 2/√3

Question. Find a quadratic polynomial, the sum and product of whose zeroes are √2 and 1/3, respectively.
Answer : 3x² − 3√2 x + 1

Question. Find a quadratic polynomial, the sum and product of whose zeroes are 0 and √5, respectively.
Answer : x² + √5

Question. Find the zeros of the polynomial 6x² − 3 − 7x and verify the relationship between the zeros and the coefficients.
Answer : Zeros of are 3/2, 1/3

Question. If the product of the zeros of the polynomial (ax² − 6x − 6 )is 4, find the value of a.
Answer : -(3/2)

Question. If one zero of the polynomial (a₂ + 9)x² + 13x + 6a is reciprocal of the other, find the value of a.
Answer : a = 3.

Level 2 (2 marks)

Please click the link below to download CBSE Class 10 Mathematics Polynomials Assignment Set A