MODERATE EXERCISES - Polynomials and Roots

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(1) Solve the followig quadratic equation by factoring.

 k2 - 12   k2 - 4
 ------- = ------
    3        4

( Click On SOLUTION To See The Answer )

(2) Find all real solution(s) for the folowing equation by using the quadratic formula.

 (x + 2)4x + 3(x + 2) = 0

( HINT , SOLUTION )

(3) Perform the indicated division.

 1 - 6x + 9x2
 ------------
    1 - 3x

( SOLUTION )

(4) Use the Factor Theorem to find all real roots to the following polynomial equation.

c3 - c2 - 14c + 24 = 0

( SOLUTION )

(5)Use the factor theorem to determine whether the first polynomial is a factor of the second. If yes, perform long division.

  b + ;  b3 - b2 - 2b + 2

( SOLUTION )

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