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Mathematics - Class 9 5, , Chapter 2: Polynomials, , , , MULTIPLE-CHOICE QUESTIONS, , , , Choose the correct answer from the given four options in the following questions:, , 1, , , , , , Which one of the following is a polynomial?, x2 2 43/2 x2 -1, a) ~—-> b) 8+ c) J3y +5 d, ™5-z ik BY @ =a, . The coefficient of x? in (2x? — 5) (4 + 3x?) is, (a) 2 (b) 3 (c) 8 (d) -7 [CBSE SP 2010], . ¥2 isa polynomial of degree, (a) 2 (b) 0 (c) 1 (d) ; [CBSE SP 2012], . Degree of polynomial (x3 - 2) (x? + 11) is, (a) 0 (b) 5 (c) 3 (d) 2. [CBSE SP 2012], . Degree of zero polynomial is, (a) 0 (b) any natural number, (c) 1 (d) not defined, S ‘ 1 x 5 «BB, . Standard form of the polynomial — + 8 + 60° + 5S, x, 34 246x543 54934 2458, (@) + B+6x? +e () 6 +P + B+ OE, 5,48 ,x 43 34 6x54 M3 4X, (0) 6 + “tg +x () P+ OP 4+ +8, 2x2 + Bx ; isa, (a) quadratic polynomial in x (b) binomial, (c) monomial (d) cubic polynomial in x, . The value of (3) for p(z) = z4- 2? + zis, 7 5 3 1, (a) Te (b) Te (c) 16 (a) Te, . If p(x) = 2x2 — 3x + 5, then the value of Se is, 1 4 9 4, (a) To (b) Tl (c) To (a) 5
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10., , 11., , 12., , 13., , 14., , 15., , 16., , 17;, , 18., , 19., , 20., , 21., , 22., , 23., , 24., , 25., , 26., , Mathematics - Class 9, , A polynomial of degree 5 in x has at most, , (a) 5 terms (b) 10 terms (c) 6 terms (d) 4 terms, , Zero of the polynomial p(x), where p(x) = ax + 1,a #0 is, , (a) 1 (b) -a, , (c) 0 (d) -1 [CBSE SP 2010], , Zeroes of the polynomial p(x) = (x + 2) (x + 5) are, , (@) 2,5 (B) -2,-5 © Fz @ -,, le, , Zeroes of the polynomial p(x) = x (x - 1) (x - 2) are, (a) 0,-1,2 b) 0,-1,- c) 0,1,-2 d) 0,1,2, Which of the following is a zero of the polynomial x° + 3x*- 3x - 1?, , (a) -1 (b) -2 (c) 1 (d) 2 [CBSE SP 2011], The number to be added to the polynomial x? — 5x + 4, so that 3 becomes its, Zero, is, , (a) 4 (b) -4 (c) -2 (d) 2, , The number to be subtracted from the polynomial x? — 16x + 30, so that, , 15 becomes its zero, is, , (a) 15 (b) 16 (c) 30 d) 0, , A polynomial whose zeroes are V2 and -V2 is, , (a) x2 +2 (b) x-2 c) 2-2 (d) x+2, , If x = 2 is a zero of the polynomial x? — 2k + 2, then the value of k is, , (a) 1 (b) 2 (c) 3 (d) 4, , The value of k for which the polynomial 23 + 3x2- 3x + k has — 3 as its zero, is, (a) -9 b) -3 (c) 9 (d) 12 [CBSE SP 2011], The remainder when p(x) = x° + 1 is divided by x + 1, is, , (a) -6 b) 0 (c) 1 (d) 6, , The remainder when x°! + 51 is divided by x+1,is, , (a) 51 (b) 50 c)-1 d) 0, , The remainder when x? + 2x + 1 is divided by x + 1, is, , (a) 4 (b) 0 (c) 1 (d) -2 [CBSE SP 2011], The remainder when f(x) = x° + 4x? - 3x + 1 is divided by x - 2, is, , (a) 16 (b) 12 (c) 17 (d) 19, , If x + 1 is a factor of the polynomial 2x? + kx, then the value of k is, , (a) -2 (b) -3 (c) 4 (d) 2, , If x + ais a factor of x* — a2x? + 3x — 6a, then the value of a is, , (a) 0 (b) 1 (c) -1 (d) 2, , (x + 1) is a factor of the polynomial, , (a) P+x2-x4+1 (b) B+x224x41, , (c) 4442741 (d) x4 + 3x3 + 3x27 +x41
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Mathematics - Class 9, , 50., , 51., , 52., , 53., , 54., , 55., , (c) (a+ 2b) (a? — J2ab + 267) (a (a+ 2b) (a? + 2ab +2b*), , 3, The expanded form of (« + 3) is, , (a) 8+ Hrovady (b) B+ Bevste, , (c) B+ E+ 3x24 3x d) 8+ Bade, The value of 10° — (5)3 — (5)3 is, , (a) 750 (b) 1000 (c) 250 (@) 500, Ifx+ + = 8, then the value of x? + = is, , (a) 62 b) 64 ©) 66 d) 60, The value of p> - q° if p - q =-8, pq =- 12 is, , (a) - 244 (b) - 240 (c) -224 (d) - 260, If 9x? — 30x + k is a perfect square then the value of k is, , (a) 25 b) 5 (c) 36 (@ 81, The value of a2 + b? + c2, ifa+b+c=13 and ab + be + ca = 27 is, , (a) 250 (b) 223 (c) 115 d) 81