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22 July, 2015

Practice Test Polynomials Class 9

Practice test 1- Polynomials (25 marks)
1mark questions
1. Which of the following is a polynomial?
a)      x2 + (1/2x) – 5
b)      x2 + Öx– 3
c)      (1/Öx) + 7
d)      x2 + (1/2)x – 5
2. The value of polynomial 2x3 – 3x2 + 5x – 3 at x=0 is
a)      3
b)      0
c)      -3
d)      1
3.  The degree of (4x-3)(4x+3) is
a)      4
b)      16
c)      2
d)      1

2 marks questions
1.     Factorise the polynomial 64x3 – (2x-t)3
2.     If (x-1) is a factor of a2x3 – 4ax + 4a – 1, find the value of a.
3 marks questions
1.     Factorise    12(x2+7x)2 – 8(x2+7x)(2x-1) – 15(2x-1)2
2.     Show that 2 and -1/3 are the zeroes of the polynomial 3x3 -2x– 7x -2. Also, find its third zero.
4 marks questions
1.     If x3 + mx2 – x + 6 has (9x-2) as a factor and leaves a remainder n when divided by (x-3), find the values of m and n.
2.     Prove that (x+y)3 + (y+z)3 +(z+x)3 – 3(x+y)(y+z)(z+x) =  2(x3+y3+z3-3xyz)
3.     When the polynomials x3 + 2x2 – 5ax – 7 and x+ ax2 – 12x + 6 are divided by (x+1) and (x-2) respectively, leaves remainder A and B and 2A + B = 6, find the value of a.

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