Solve and Graph Polynomials

Solve by factoring x³ - x² + 2x - 2 = 0.

• 1, 2, 0

• -1, √2, -√2

• -1, 2, 0

• 1, i√2 , -i√2

Divide (x² + 5x - 8) by (x + 3). What is the remainder?

• 16

• 12

• -14

• -16

Identify the zeros:

• x=-2, x=-1, x=0

• x=-2, x=0

• x=-1, x=0, x=2

• x=-2, x=0, x=1

Select the two descriptions that best describe the polynomial FUNction's graph.

• Even degree

• Odd degree

• Positive leading coefficient

• Negative leading coefficient

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

Remember to look at your roots, multiplicity, and end behavior!!

Use your notes!

• -1

• -3

• -120

• 4

Match the graph to the function

• f(x) = -2x⁶+9x²

• f(x) = x⁶-7x⁴+12x²-x-2

• f(x) = x⁶-3x³+x+2

• f(x) = -x⁶+5x⁴+3x-2

Match the equation to the graph. Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• y=-(x+1)(x-2)(x-4)

• y=(x+1)²(x-3)(x-1)³

• y = 3x³ – 2x + 1

• y=(x+1)³(x-3)(x-1)²

• (-2.55, 0), (2.55, 0)
• (-3, 0), (-2, 0), (2, 0), (3, 0)
• (0, 36)
• (0, -3), (0, -2), (0, 2), (0, 3)

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2

• y = -x⁴ + x³ + 5x + 2

• y = x³ - 2x² + 1x + 3

• y = -x³ - 2x² + 1x + 3

Remember to look at your roots, multiplicity, and end behavior!! Use your notes!

• y = ^_(x + 2)(x - 1)²

• y = -(x - 2)(x + 1)²

• y = (x - 2)(x + 1)²

• y = -x³