Unit Test: Polynomials | Mathematics (Maths) Class 10 PDF Download

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Time: 1 hour

M.M. 30

Attempt all questions.

• Question numbers 1 to 5 carry 1 mark each.
• Question numbers 6 to 8 carry 2 marks each.
• Question numbers  9 to 11 carry 3 marks each.
• Question number 12 & 13 carry 5 marks each.

Q1: Which of the following is NOT a polynomial?  (1 Mark) 
(a) 2x + 3y
(b) 4x² - 7x + 1
(c) √2x + 1
(d) x³ - 5x² + 4x - 7

Q2: If a polynomial has exactly three terms, what is it called?  (1 Mark) 
(a) Monomial
(b) Binomial
(c) Trinomial
(d) Polynomial

Q3: What is the degree of the polynomial 2x³ - 5x² + 7x - 9?  (1 Mark) 
(a) 2
(b) 3
(c) 4
(d) 1

Q4: State whether the following statement is True or False: "A polynomial of degree 0 is called a constant polynomial."  (1 Mark) 

Q5: Identify the coefficients of the following polynomial: 3x² - 8x + 5.  (1 Mark) 

Q6: Find the value of 'k' in the polynomial x² - kx + 9, if one of its zeros is 3.  (2 Marks) 

Q7: Factorize the polynomial completely: 2x³ - 8x² + 4x.  (2 Marks) 

Q8: If (x + 2) is a factor of the polynomial 2x³ + kx² - 4x + 16, find the value of 'k'.  (2 Marks) 

Q9: If the sum of the zeroes of the polynomial x² - kx + 15 is 5, find the value of 'k'.  (3 Marks) 

Q10: The area of a rectangular garden is given by the polynomial 2x² + 7x - 15. Find the dimensions of the garden if its length is 2 units more than its breadth.  (3 Marks) 

Q11: Find the value of 'p' for which (2p - 1) is a factor of the polynomial 4p³ - 6p² + 3p - 1.  (3 Marks) 

Q12: Explain the Remainder Theorem and how it can be used to find the remainder of a polynomial division.  (5 Marks) 

Q13: Explain the Factor Theorem and how it can be used to determine whether a given expression is a factor of a polynomial.  (5 Marks)