Algebraic Expressions & Polynomials

1

If u2 + (u − 2v − 1)2 = −4v(u + v), then what is the value of u + 3v?

  1. 1/4
  2. 0
  3. 1/2
  4. -1/4
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2

What is the LCM of x3 + 8, x2 + 5x + 6 and x3 + 4x2 + 4x?

  1. x (x + 2)2 (x + 3) (x2 - 2x + 4)
  2. x (x - 2)2 (x - 3) (x2 + 2x + 4)
  3. (x + 2)2 (x + 3) (x2 - 2x + 4)
  4. (x - 2)2 (x - 3) (x2 - 2x + 4)
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3

If a + b = 5 and ab = 6, then what is the value of a3+ b3?

  1. 35
  2. 40
  3. 90
  4. 125
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