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

For instructions go to: Who Has Intro
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 havey=(x-2)2(x+4). Who has this with only a single root at x = 2? I havey=(x-2)(x+4).Who has a line with the same x-intercept as the axis of symmetry? I havey=x+1. Who has the product of this and (x+5)3? I havey=(x+1)(x+5)3 Who has thiswith the single root removed and a double root included when x=4? I havey=(x-4)2(x+5)3. Who has this with only a double root when x=-5? I havey=(x-4)2(x+5)2. Who has this concave up, with triple roots? I havey=(x-4)3(x+5)3. Who has this reflected about y=0? I havey=-(x-4)3(x+5)3. Who has this with single roots and concave up? I havey=(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 havey=(x-2)2(x-4). Who has this reflected about y=0? I havey=-(x-2)2(x-4). Who has this without the double root? I havey=-(x-4). Who has the perpendicular to this at (-4,0)? I havey=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 havey=(x+3)2(x+4). Who has the degree of this polynomial?
 I have3rd. 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 havey=x2- 4. Who has the fourth degree polynomial with double roots of ± 2? I havey=(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 havey=(x-2)(x+2)3. Who has the second degreepolynomial with roots of ± 2i? I havey=x2 + 4. Who has this polynomialtranslated down 4? I havey=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 havey=x2(x+2)(x-4). Who has the reflection of thisabout x=0? I havey=x2(x-2)(x+4). Who has thiswith a double root at x=2? I havey=x2(x-2)2(x+4). Who has thiswithout 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?