Polynomial Zeros

What are the zeros of the given graph ? Choose all that apply.

Which one could be a representation of the equaiton of this graph?

y =  ^_(x + 2)(x - 1)² y = -(x - 2)(x + 1)² y = (x - 2)(x + 1)² y = -x³

• y =  ^_(x + 2)(x - 1)²

• y = -(x - 2)(x + 1)²

• y = (x - 2)(x + 1)²

• y = -x³

• y = x(x - 3)(x - 2)
• y = x(x - 3)² (x+2)
• y = x(x + 3)² (x - 2)
• y = -x(x + 3)² (x - 2)

Which zero will "bounce" off of the x-axis for x(x - 1)²(x + 2)(x + 3)

• -1

• 1

• -2

• -3

Which zero will "bounce" off of/touch the x-axis for x(x - 1)²(x + 2)(x + 3)

• -1

• 1

• -2

• -3

Which does not describe the zeros of a polynomial?

• Where a graph crosses the x-axis

• Also known as the roots

• Where x=0

• The solution when a factor is set equal to zero

What is another way to say "where a function crosses the x-axis"?

• x-intercept

• zero

• root

• all of these.

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

What are the zeros of the graph?

• -4, -1, 2, 1 multiplicity 2

• -4, -1, 1, 2

• 4, 1, -2, -1 multiplicity 2

• 4, 1, -1, -2