(c) Show that x2 - x-12 is a factor of f (x)= x* -7x' -x3 +67x-60. MATH 137 Quiz 8 Name (a) Show that x 4 4 is a factor of f (x) = 3x* -4x' +14x -16x+8. Factor f (x) Factor f (x) completely. completely. (b) Divide g(x)=10x' -15x' -6x' +Ilx+6 by 2x-3. Express g(x) in the form: dividend = divisor *quotient + remainder (d) Show that x - 4 is a zero of the polynomial function f (x) =2x -23x2 +10x+200. Factor f (x) completely, and determine the x-intercept of the graph of y = f (x). Sketch the graph of y = f (x) Quiz continues 1 31, Doc 2.pdf Factor Theorem: For a polynomial function f, f (c)=0 if and only if x -c is a factor of f (x) PDF 1 31, Doc 1.pdf (e) Show that x -1 is a factor of f (x) = x" -1 using the Factor Theorem