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Mathematics

Test your understanding of this lesson Application of Remainder theorem | Part -1:-

1)
When P(x)= \(x^3-5x^2+4x-3\) is divided by x-2,the remainder is
  • 5
  • 2
  • -7
  • 0
2)
The remainder when \(x^3-ax^2+6x\) is divided by x-a,is
  • 3a
  • 7a
  • 5a
  • 9a
3)
Let f(x)= \(x^3-3x^2+ax-15\) is divided by x-3.If remainder is -9,then a=
  • 1
  • 2
  • 3
  • 5
4)
If A and B are the remainders when the polynomials \(y^3+2y^2-5ay-7\) and \(y^3+ay^2-12y+6\) are divided by y+1 and y-2 respectively.The 2A+B=6,then the value of a is
  • 1
  • -1
  • 2
  • -2
5)
When P(x) be added to the polynomial \(x^3-3x^2-12x+19\),the new polynomial is exactly divisible by \(x^2+x-6\),the value P(x) is
  • x+5
  • 5-x
  • 2x-5
  • 2x+5
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