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The given fact will relate all of these ideas to the multiplicity of the zero.
Fact
If x = r is a zero of the polynomial P (x) along with multiplicity k then,
1. If the value of k is odd then the x-intercept corresponding to x = r will cross the x-axis
2. If value to k is even then the x-intercept corresponding to x = r will just touch the x-axis and not cross it actually.
Furthermore, if k = 1 then the graph will flatten out at the point x = r .
At last, notice that as we consider x get large in both the +ve or -ve sense (that means at either end of the graph) then the graph will either increase with no bound or decrease without bound. It will always occur with every polynomial and we can employ the following test to find out just what will happen at the endpoints of the graph.
The second method of solving quadratics is square root property, If p 2 = d then p =±d There is a (potential
Ask question1 MATH 1110 – Mathematics for I.T. Follow the instructions given below to submit your work. ? Use MS Word to open a new solution file. ? Write your name, Student Id and
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what are the steps to find the quotient of two rational expressions?
if A is an ideal and phi is onto S,then phi(A)is an ideal.
What we desire to do in this section is to begin with rational expressions & ask what simpler rational expressions did we add and/or subtract to obtain the original expression. The
if I have the equation 3(x+4y)+5(2x-y)an then I change it into (3x+12y)+(10x-5y) what property is it
27x^2+3x+5
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Consider the function y = 2x. the domain is restricted to 0 = x = 4, what is the range of this function
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