Time: 1 hour
M.M. 30
Attempt all questions.
Q1: Which of the following is NOT a polynomial? (1 Mark)
(a) 2x + 3y
(b) 4x^{2}  7x + 1
(c) √2x + 1
(d) x^{3}  5x^{2} + 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 2x^{3}  5x^{2} + 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: 3x^{2}  8x + 5. (1 Mark)
Q6: Find the value of 'k' in the polynomial x^{2}  kx + 9, if one of its zeros is 3. (2 Marks)
Q7: Factorize the polynomial completely: 2x^{3}  8x^{2} + 4x. (2 Marks)
Q8: If (x + 2) is a factor of the polynomial 2x^{3} + kx^{2}  4x + 16, find the value of 'k'. (2 Marks)
Q9: If the sum of the zeroes of the polynomial x^{2}  kx + 15 is 5, find the value of 'k'. (3 Marks)
Q10: The area of a rectangular garden is given by the polynomial 2x^{2 }+ 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 4p^{3}  6p^{2} + 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)
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