If a polynomial function has zeros with “multiplicity”, or zeros that are the same number, how does this “multiplicity” look on when graphed? by Kyle Clinton https://padlet.com/khclinton/5dtw1ervuf2k "Best Definition" for each group. en-us 2017-10-30 12:48:32 UTC 2025-10-08 23:56:23 UTC hello@padlet.com Emily, Rocky, Rachel https://padlet.com/khclinton/5dtw1ervuf2k/wish/201799446 When a polynomial has a root of multiplicity, the same root is repeated k times. ]]> 2017-10-30 16:10:40 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201799446 Brian, Carson, Blanca, Jason https://padlet.com/khclinton/5dtw1ervuf2k/wish/201805576 If a polynomial has zeros with multiplicity that means the points are going to be at only one spot.]]> 2017-10-30 16:22:01 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201805576 June, Tyler, Brooke, Katie https://padlet.com/khclinton/5dtw1ervuf2k/wish/201805668 When the multiplicity are factors that occur an even number of times and form squares. ]]> 2017-10-30 16:22:11 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201805668 Gabe, Kylie, Heidi knicholson501944 https://padlet.com/khclinton/5dtw1ervuf2k/wish/201805974 .A multiplicity is how many times a zero is repeated. On a graph, even multiplicities go back the way they came from after coming in contact with the x-axis, and odd multiplicities continue the way they were going after coming in contact with the x-axis.]]> 2017-10-30 16:22:46 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201805974 David, Amara, Kristina, Jayzhan https://padlet.com/khclinton/5dtw1ervuf2k/wish/201807022 You will have to check if your repeated number is repeated even or odd times (multiplicity). Evens bounce odds go through. The Even would bounce on the x axis instead of piercing through so it can be even and go upwards again.]]> 2017-10-30 16:24:56 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201807022 Tristen and Josiah https://padlet.com/khclinton/5dtw1ervuf2k/wish/201807951 The way that the graph looks mainly depends on the highest exponent of equation. For the numbers, if there are zeros that are the same then there would be  a number of less points that there are same numbers since you would have a point already there.]]> 2017-10-30 16:26:41 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201807951 Makayla, Ty, Irene https://padlet.com/khclinton/5dtw1ervuf2k/wish/201809190 When you graph the polynomial function with multiplicity you have to look if the root is repeated evenly or odd. When it is even the graph will open up and the repeated root will be graphed with nothing else. The even roots will only touch the graph, while the negative amount of roots will cross through the graph. ]]> 2017-10-30 16:28:59 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201809190 Malaya mmadayag500739 https://padlet.com/khclinton/5dtw1ervuf2k/wish/201812592 The multiplicity of a root affects the shape of the graph of a polynomial. If a root of a polynomial has odd multiplicity, the graph will cross the x-axis at the the root.If even multiplicity, the graph will touch the x-axis at the root but will not cross the x-axis.
As the multiplicity of the root increases, the graph flattens out more and more near the root.
]]> 2017-10-30 16:35:15 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201812592 Eleesa and Erik https://padlet.com/khclinton/5dtw1ervuf2k/wish/201870982 When graphing a polynomial function that has the multiplicity with repeated zeros either being even or odd. when having all the same zeros on the graph then the multiplicity of the zero is determined based off of which way the graph will go. So from which the graph first started once it crosses the x-axis at the zero, it will just go back from the same way it came. The Zeros that are odd will always cross the x-axis. ]]> 2017-10-30 18:18:10 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201870982 Adam, Ger, Troy, Bode https://padlet.com/khclinton/5dtw1ervuf2k/wish/201871148 if there is a recurring number there would be one less zero on the graph since it is the same number, and it would touch only and not go through]]> 2017-10-30 18:18:26 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201871148 Adal, Michael, & Mary https://padlet.com/khclinton/5dtw1ervuf2k/wish/201871607 If a multiplicity were to be graphed, it would just be shown as whatever the multiplicities are. The zeros with multiplicities would be graphed in the same spot anyway. If the multiplicities are even, it will touch the x-axis, and if it is odd, it will go through the x-axis. ]]> 2017-10-30 18:19:12 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201871607 Richard, Dylan https://padlet.com/khclinton/5dtw1ervuf2k/wish/201872286 If the multiplicities are the same number they keep "bouncing" off the x-axis and don't pierce it because their isn't a positive and a negative only one or the other.]]> 2017-10-30 18:20:21 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201872286 Lily, Alissa, Shane, Analyse https://padlet.com/khclinton/5dtw1ervuf2k/wish/201872764 If the multiplicity is even, the graph will be tangent(just touch) to the x-axis at the root that is repeated. If the multiplicity is odd, the graph will strike-through the root that is repeated. ]]> 2017-10-30 18:20:56 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201872764 tiara & sophia tgora501822 https://padlet.com/khclinton/5dtw1ervuf2k/wish/201873840 to graph a polynomial function that has zeros with "multiplicity" or zeros that are the same number you have to first figure out whether the zero shoots through the x-axis or "kisses" the x-axis by looking at the power. when a power on a zero is odd then it shoots through.  when a power on a zero is even, it is a kiss. ]]> 2017-10-30 18:22:46 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201873840 Josh, Alyssia jduyette501787 https://padlet.com/khclinton/5dtw1ervuf2k/wish/201874450 Depending on the power it would either kiss or shoot through the x axis ]]> 2017-10-30 18:23:41 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201874450 Kait,Lily,Amanda,Emily https://padlet.com/khclinton/5dtw1ervuf2k/wish/201921386 When multiplicity happens it's when the same factor repeats. When the multiplicity is odd it crosses the x-axis, when it is even it meets but does not cross basically it bounces off the x-axis.]]> 2017-10-30 20:16:29 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201921386 Garin, Dylan, Tenzin, and Melisa gboggs501716 https://padlet.com/khclinton/5dtw1ervuf2k/wish/201921399 Even multiplicity- makes the line of the graph touch the x axis and then bounce back to where it came from.
Odd multiplicity- This is when the line of the graph passes through the x axis. ]]> 2017-10-30 20:16:32 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201921399 Rachel, Nylah, Juliana, and Destiny rlivinal705611 https://padlet.com/khclinton/5dtw1ervuf2k/wish/201921547 The multiplicities will show a bounce, meaning that it bounces off of the point, and then away. If it wasn't, it would be a shoot-through, meaning it would go straight through the point.]]> 2017-10-30 20:16:59 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201921547 Joseph, Jose, Angel https://padlet.com/khclinton/5dtw1ervuf2k/wish/201921647 If the multiplicities are the same they dont intersect with each other they bounce off the x-axis. The point of infection is the value of (X) where the graph changes the concavity from concave upward to downward (vice versa) , Basically odd graphs. Factors that occur an even number of time are squares so they dont change side, squares that are always positive, this means that the X-intercept corresponding to an even multiplicity. ) can't cause the graph change because it can't be a positive or a negative.]]> 2017-10-30 20:17:23 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201921647 Jefferson, Timothy, Jesus, and Jonathan jyang502100 https://padlet.com/khclinton/5dtw1ervuf2k/wish/201921788 The multiplicity will look like depending on the multiplicity even or odd and the leading coefficient is negative or positive. 
The multiplicity even is touch on the x-axis point and the odd will cross the x-axis point. Positive leading coefficient is same side and negative leading coefficient is opposite. ]]> 2017-10-30 20:17:46 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201921788 Rogelio, Stacey, Justin, Jasmine https://padlet.com/khclinton/5dtw1ervuf2k/wish/201921816 The multiplicity makes the graph bounce. If the root has an odd multiplicity at root c, the graph of the function crosses the x-axis at x=c. If the root has an even multiplicity at root c, the graph meets but doesn't cross the x-axis at x=c.]]> 2017-10-30 20:17:51 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201921816 Suzanne A, See L, Stephanie G, Julianna B salcantar501101 https://padlet.com/khclinton/5dtw1ervuf2k/wish/201922083 The "multiplicity" barley touches the x-axis and then turns back around the way it came from with an even degree. With an odd degree, the "multiplicity" crosses through the x-axis.]]> 2017-10-30 20:18:39 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201922083 Natalie, Evie, Rae, Christian, Brooklyn ncollins501751 https://padlet.com/khclinton/5dtw1ervuf2k/wish/201922142 When the power of the zero is odd, the line goes through the x-axis. When the power of a zero is even it touches the x-axis, but moves away immediately after. The powers of the zeroes are called "multiplicities". Multiplicities are determined by the power of the zeros.]]> 2017-10-30 20:18:51 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201922142 Naomi, Sofia, Susana, Guillermo narchibeque105670 https://padlet.com/khclinton/5dtw1ervuf2k/wish/201923472 In the case that the zeros are the same, the even multiplicity, zeroes barely touch the x-axis before turning the way it came, whereas odd multiplicities go through the y-axis. ]]> 2017-10-30 20:23:00 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201923472 Jennifer & Jessica https://padlet.com/khclinton/5dtw1ervuf2k/wish/201924737 If the graph is just touching the x-axis it may also referred to as bounce off on the x-axis. The multiplicity is referring to the number of times a factor appears in the a polynomial.]]> 2017-10-30 20:27:29 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201924737 Juan Campos https://padlet.com/khclinton/5dtw1ervuf2k/wish/201936147 There are 2 multiplicities that will control the graph]]> 2017-10-30 21:05:36 UTC https://padlet.com/khclinton/5dtw1ervuf2k/wish/201936147