Question: (8 pts) 2. (a) Determine if x-5 is a linear factor of f (x) =3x -13x-31x+105 (Factor Theorem: x - c is a linear factor

(8 pts) 2. (a) Determine if x-5 is a linear factor of f (x) =3x -13x-31x+105 (Factor Theorem: x - c is a linear factor of a polynomial f (x ) if and only if f (c ) =0) (b) Find the quotient of dividing f (x) -3x -13x -31x+105 by r-5 (c) Determine all the zeros of f (x) -3x -13x--3 Lx +105 (16 pts) 3. (a) Determine the vertex of the graph of f (x) - 2(x -1) -3 Sketch the graph of this parabola, and indicate clearly its y - intercept. 10 -9 8 7 6 5 1 32 2 3 1 5 6 7 8

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