Consider the polynomial p(x)=8x^(4)-8x^(3)-10x^(2)+12x-3. Answer the following using complete sentences. I want to see an appropriate response to each of these prompts.
By considering the degree of p, how many roots might p have? Note that I am not asking how many root p(x) actually has. - I want a full sentence: "Since the degree of p(x) is might have up to it
By considering Descartes law of signs, how many positive roots might p(x) have? Again, I am not asking for how many it actually has. I am just asking you to see what Descartes's law of signs has to say.
I want a full sentence for your conclusion: "By Descartes's law of signs, p(x) might have up to positive roots and the number of positive roots will be ven or odd."
By considering Descartes law of signs, how many negative roots might p(x) have? Again, I am not asking for how many it actually has. I am just asking you to see what Descartes's law of signs has to say.
I want a full sentence for your conclusion: "By Descartes's law of signs, p(x) might have up to negative roots and the number of negative roots will bin sven or odd."
List all possible rational roots of p(x). At this stage I am not asking whether or not any of these are actually roots. (Hint: You should have 16 different number in your list
I want a full sentence for your conclusion: "The rational roots test provides the following as a list of candidate roots:
Consider the polynomial px)=8x4-8x3-10x2+12x-3 Answer the following using complete sentences. I want to see an appropriate response to each of these prompts.
1. By considering the degree of p, how many roots might p have? Note that I am not asking how many root p() actually has. o I want a full sentence: "Since the degree of p() is -----, it might have up to roots." 2. By considering Descartes law of signs, how many positive roots might p() have? Again, I am not asking for how many it actually has. I am just asking you to see what Descartes's law of signs has to say. o I want a full sentence for your conclusion: "By Descartes's Iaw of signs, p() might Mave up to -- - positive roots and the number of positive roots will be -even or odd ." 3. By considering Descartes law of signs, how many negative roots might p() have? Again, I am not asking for how many it actually has. I am just asking you to see what Descartes's law of signs has to say. o I want a full sentence for your conclusion:By Descartes's Iaw of signs, p() might have up to negative roots and the number of negative roots will be .even or odd." 4.List all possible rational roots of p().At this stage I am not asking whether or not any of these are actually roots. (Hint: You should have16 different number in your list o Iwant a full sentence for your conclusion:"The rational roots test provides the following as a list of candidate roots: ---