Finding Zeros in Polynomials

Which of the following could be the equation of the graph in factored form?

• y=-(x+1)(x-2)(x-4)

• y=(x+1)²(x-2)
  (x-4)³

• y = x(x+1)(x-2)
  (x-4)

• y=(x+1)³(x-3)
  (x-1)²

Match the graph to the function

• f(x) = -x⁴-x³+5x²-6

• f(x) = x⁴+3x²-3x+1

• f(x) = -x³+2x²-x-6

• f(x) = x⁴+x³+5x²-6

If a zero of a polynomial function has multiplicity 4 that means:

• The x intercept is at (4, 0)

• The graph will "bounce back" at that zero

• The graph will "pass through" at that zero

• Zeros cannot have multiplicity of 4

The degree of the polynomial determines the max number of roots.

• True

• False

List the possible rational zeros of f(x) = x³ - 4x² -4x + 16

• 1, 2, 4, 8, 16

• -2 and-4

How could you determine    if x-2 is a factor of 2x³-5x²+x-2?

• Use synthetic division and see if the quotient is even

• Ask the person sitting next to me

• Use synthetic division and see if the remainder is zero

• Flip a coin

Find all rational zeros, one zero has been given.
f(x) = x³-5x²-2x+24;   -2

• -2,1,0

• -2,-3,-4

• 4,3,-2

• 0,0,0

To find zeroes of polynomials, we...

• say x=0

• make pancakes

• ask NASA

• set factors equal to zero

What do "zeros" represent?

• something a polynomial can not be.

• the place that the polynomial crosses the x axis/ the x value that makes the whole equation equal to zero

• the place that the polynomial crosses the y axis/ the y value where x=0

• the number zero

What are the zeros of the polynomial function?
y = x(x - 6)(x + 5)

• 0, 6, -5

• 6, -5

• 0, -6, 5

• 1, -6, 5