"Who Has" - Polynomial Functions     © 2015, 2018, Agnes Azzolino

For instructions go to: Who Has Intro
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Cut up & make cards from one, make an overhead master with the other.
Master 1  Master 2  Master 3  Master 4  Master 5  Master 6 
I have
y=(x-2)2(x+4).

Who has this
with only a single root at x = 2?
I have
y=(x-2)(x+4).

Who has
a line with the same x-intercept
as the axis of symmetry?
I have
y=x+1.

Who has
the product of this and (x+5)3?
I have
y=(x+1)(x+5)3

Who has this
with the single root removed and a
double root included when x=4?
I have
y=(x-4)2(x+5)3.

Who has this
with only a double root when x=-5?
I have
y=(x-4)2(x+5)2.

Who has this
concave up, with triple roots?
I have
y=(x-4)3(x+5)3.

Who has this
reflected about y=0?
I have
y=-(x-4)3(x+5)3.

Who has this
with single roots and concave up?
I have
y=(x-4)(x+5).
Who has this
with the root at x=-5 removed,
f(x) goes to - as x goes to - ,
and a double root at x=2 added?
I have
y=(x-2)2(x-4).

Who has this
reflected about y=0?
I have
y=-(x-2)2(x-4).

Who has this
without the double root?
I have
y=-(x-4).

Who has the perpendicular
to this at (-4,0)?
I have
y=x+4.

Who has this
the x-intercept of this?
I have
(-4,0).

Who has the the polynomial function with this root and
a double root at x=-3?
I have
y=(x+3)2(x+4).

Who has the degree of this
polynomial?
I have
3rd.

Who has the end behavior of y=(x+3)2(x+4)
as x increases without bound?
I have
.

Who has the second degree polynomial with
real roots of ± 2?
I have
y=x2- 4.

Who has the fourth degree polynomial
with double roots of ± 2?
I have
y=(x-2)2(x+2)2.

Who has the fourth degree
polynomial with a single root
at x=2 and a triple root at x=-2?
I have
y=(x-2)(x+2)3.

Who has the second degree
polynomial with roots of
± 2i?
I have
y=x2 + 4.

Who has this polynomial
translated down 4?
I have
y=x2.

Who has the vertex of this?
I have
(0,0).

Who has a concave-up quartic with
this intercept and also
(-2,0) and (4,0)?
I have
y=x2(x+2)(x-4).

Who has the reflection of this
about x=0?
I have
y=x2(x-2)(x+4).

Who has this
with a double root at x=2?
I have
y=x2(x-2)2(x+4).

Who has this
without the roots at x=0?
Cards for printing: A B C
I have y=(x-2)2(x+4).     Who has this with only a single root at x = 2?
I have y=(x-2)(x+4).     Who has a line with the same x-intercept as the axis of symmetry?
I have y=x+1.     Who has the product of this and (x+5)3?
I have y=(x+1)(x+5)3     Who has this with the single root removed and a double root included when x=4?
I have y=(x-4)2(x+5)3.     Who has this with only a double root when x=-5?
I have y=(x-4)2(x+5)2.     Who has this concave up, with triple roots?
I have y=(x-4)3(x+5)3.     Who has this reflected about y=0?
I have y=-(x-4)3(x+5)3.     Who has this with single roots and concave up?
I have y=(x-4)(x+5).     Who has this with the root at x=-5 removed, f(x) goes to - as x goes to - , and a double root at x=2 added?
I have y=(x-2)2(x-4).     Who has this reflected about y=0?
I have y=-(x-2)2(x-4).     Who has this without the double root?
I have y=-(x-4).     Who has the perpendicular to this at (-4,0)?
I have y=x+4.     Who has this the x-intercept of this?
I have (-4,0).     Who has the the polynomial function with this root and a double root at x=-3?
I have y=(x+3)2(x+4).     Who has the degree of this polynomial?
I have 3rd.     Who has the end behavior of y=(x+3)2(x+4) as x increases without bound?
I have .     Who has the second degree polynomial with real roots of ± 2?
I have y=x2- 4.     Who has the fourth degree polynomial with double roots of ± 2?
I have y=(x-2)2(x+2)2.     Who has the fourth degree polynomial with a single root at x=2 and a triple root at x=-2?
I have y=(x-2)(x+2)3.     Who has the second degree polynomial with roots of ± 2i?
I have y=x2 + 4.     Who has this polynomial translated down 4?
I have y=x2.     Who has the vertex of this?
I have (0,0).     Who has a quartic with this intercept and also (-2,0) and (4,0)?
I have y=x2(x+2)(x-4).     Who has the reflection of this about x=0?
I have y=x2(x-2)(x+4).     Who has this with a double root at x=2?
I have y=x2(x-2)2(x+4).     Who has this without the roots at x=0?