Analyzing Polynomials

Identify the points where the local maximum(s) and local minimum(s) occur.

• (-2.26, 0.407) is a local minimum; (-0.0738, -10.036) is a local maximum

• (-2.26, 0.407) is a local maximum; (-0.0738, -10.036) is a local minimum

• (1, 0) is a local maximum; (0, -10) is a local minimum

• no local maximum; (0, -10) is an absolute minimum

Over the interval (−3, -1), the graph of the polynomial shown could be described as

• decreasing

• increasing

• quadratic

• complex

f(x)=(x+4)(x-3)(x-2)

List the zeros for this function.

• x= -4, x=3, x= -2

• x= -4, x=3, x=2

• x= -4, x=-3, x=2

• x=4, x= -3, x= -2

Over the interval (−1, 2), the graph of the polynomial shown could be described as

• decreasing

• increasing

• quadratic

• complex

• As x→+∞ , h(x)→+∞ ; and as x→-∞ , h(x)→-∞

• As x→+∞ , h(x)→-∞ ; and as x→-∞ , h(x)→+∞

• As x→+∞ , h(x)→+∞ ; and as x→-∞ , h(x)→+∞

• As x→+∞ , h(x)→-∞ ; and as x→-∞ , h(x)→-∞

In the polynomial graph shown, −4 is a(an)_______.

• maximum

• minimum

• Zero

• Vertex

In the above graph, which root has a multiplicity of 2?

• -1

• -3

• -120

• 4

Describe the end behavior of
f(x) = 2x² + 6x⁵ + 10x

• Left side:  Rises
  Right side: Rises

• Left side: Falls
  Right side: Rises

• Left side:Rises
  Right side: Falls

• Left side: Falls
  Right side: Falls

What is the name of a polynomial with two terms?

• monomial

• binomial

• trinomial

• quadratic

identify zeros

• (-1,0)

• (0,-1)

• (-0.333,1.333)

• (0.333,0)