CHAPTER 15 PRACTICE TEST

As a study aid, we have included complete solutions for each Practice Test problem at the end of this book.

  1. Is  − 3 a zero for the function 2x3 + 3x2 + 7x − 6 ?  Explain.

  2. Find the remaining roots of the equation x4 − 2x3 − 7x2 + 20x − 12 = 0 ;  2 is a double root.

  3. Use synthetic division to perform the division (x3 − 5x2 + 4x − 9) ÷ (x − 3) . 

  4. Use the factor theorem and synthetic division to determine whether or not 2x + 1 is a factor of 2x4 + 15x3 + 23x2 − 16 . 

  5. Use the remainder theorem to find the remainder of the division (x3 + 4x2 + 7x − 9) ÷ (x + 4) . 

  6. Solve for x: 2x4 − x3 + 5x2 − 4x − 12 = 0 . 

  7. The ends of a 10-ft beam are supported at different levels. The deflection y of the beam is given by y = kx2(x3 + 436 ...

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