Solving Polynomial Inequalities Using a Graph

Practice: Solving Polynomial Inequalities Using a Graph


Determine an expression for a polynomial, f(x),f(x), that has the following properties:
  • f(x)0f(x)\leq{}0 when x7x\geq{}-7
  • f(x)0f(x)\geq{}0 when x7x\leq{}-7
  • There is an x-intercept at x=2x=2 with mulitiplicity of 2.
  • f(0)=10f(0)=-10
Express f(x) f(x)~ in factored form a(xx1)(xx2)...(xxn)a(x-x_1)(x-x_2)...(x-x_n)
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