Home/Maths/

Question and Answer

Question

He polynomial of degree 5, p ( x ) p(x) has leading coefficient 1, has roots of multiplicity 2 at x = 4 x=4 and x = 0 x=0, and a root of multiplicity 1 at x = − 4 x=-4 find a possible formula for p ( x ) p(x).

Answer

root of x = 4  means (x - 4) is a factorMultiplicity of two means that (x - 4) is used twice root of x= -4 means that (x+ 4) is a factormultiplicity of 1 means it is used once so y = a (x-4) (x-4) (x + 4)y = a (x^3 - 4x2 - 16x + 64)
Thus, any polynomial with these zeroans d as a minimum these multiplicities will be a multiple (scalar or polynomial) of this P(x).
To Keep Reading This Answer, Download the App
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
To Keep Reading This Answer, Download the App
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
Correct43
Incorrect0
Watch More Related Solutions
Which addictive drug tells the body to stop producing natural endorphins?
Genomic libraries can be constructed using bacterial plasmids or what other vector?
which term best describes the type of reaction that happens when a single element reacts with a molecule or compound producing a new single element and a new molecule or compound? A) an isolation reaction B) a single combustion reaction C) a single replacement reaction D) a double replacement reaction
Marcel has been diagnosed with schizoaffective disorder. this means that in addition to schizophrenic symptoms, he also has symptoms of
Which option accurately describes greek and roman ideas that were revived during the renaissance by humanist philosophers? the art of public speaking and debate, known as rhetoric, was revived during the renaissance. the use of ziggurats as architectural symbols of faith was revived during the renaissance. the worship of greek and roman gods as deities was revived during the renaissance. gladiator battles that demonstrated strength and dominance were revived during the renaissance?
What actions are partially responsible for north korea's' failure to develop with the rest of east asia?
A 0.04358 g sample of gas occupies 10.0-ml at 292.0 k and 1.10 atm. upon further analysis, the compound is found to be 25.305% c and 74.695% cl. what is the molecular formula of the compound?
A solution is created by dissolving 11.0 grams of ammonium chloride in enough water to make 325 ml of solution. how many moles of ammonium chloride are present in the resulting solution
If the offspring had been red and blue spotted flowers what kind of inheritance would be most likely
Muscle cells are responsible for obtaining energy so the body can perform voluntary and involuntary movement. using you knowledge about organelles and muscles, how would a muscle cell differ from other types of animal cells?

Load More