1) If a polynomial p(y) is divided by y + 2, then which of the following can be the remainder: a) y + 1 b) 2y+3 c) 5 d) Y - 1 2) If a polynomial p(x) is divided by b - ax ; the remainder is the value of p(x) at x = a) a b) b/a c) -b/a d) a/b 3) If the polynomial ax3 + 4x2 + 3x - 4 and x3 - 4x + a, leave the same remainder when divided by (x-3), then value of a is : a) 2b b) - 1 c) 1 d) -2b 4) If p(x) = 2x4 - ax3 + 4x2 + 2x + 1 is a. multiple of 1 - 2x, then find the value of a : a) 25 b) 1/2 c) - 1/2 d) 8 5) If - 2 is a zero of p(x) = (ax3 + bx2 + x - 6 ) and p(x) leaves a remainder 4 when divided by (x - 2), then the value of a and b are (respectively) : a) a = 2, b = 2 b) a = 0, b = - 2 c) a = 0, b = 2 d) a = 0, b = 0 6) Find the number of zeros in the graph given: a) 3 b) 2 c) 1 d) 0  7) If zeros of polynomial x3 - 3x2 + 1 are p - q, p and  p + q. find the value of q. a) 1 b) 0 c) 2 d) ±√2 8) Which off the following linear graph has no zero?  a) b) c) d) 9) If a, s are the zeroes of(x) = 2X2 + 5x + k such that, a2 + s2 +as = 21/4, then k equals, a) 12 b) 4 c) 2 d) - 12 10) What should be subtracted from x³ – 2x² + 4x + 1 to get 1? a) x³ – 2x² + 4x b) x³ – 2x² + 4 + 1 c) -1 d) 1 11) 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 12) If the zeroes of the polynomial x³ – 3x² + x – 1 are st, s and st then value of s is a) 1 b) -1 c) 2 d) -3 13) Zeroes of the polynomial x² – 11 are a) ±√17 b) ±√3 c) 0 d) None 14) If α and 1/α are the zeroes of the polynomial ax² + bx + c, then value of c is a) 0 b) a c) - a d) 1 15) The graph of the polynomial ax² + bx + c is a downward parabola if a) a > 0 b) a < 0 c) a = 0 d) a = 1 16) If α, β, γ are the zeroes of the cubic polynomial ax³ + bx² + cx + d then αβ + βγ + αγ is equal to a) −b/a b) b/a c) c/a d) d/a 17) Made by: a) Snehal Bhakri b) Divyansh Yadav c) Sajag Pandey

Polynomials (MCQ)

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