What is a quartic function with only the two real zeros given?
1 answer:
Answer:
y = x^4 + 5x^3 + 5x^2 + 5x + 4
Step-by-step explanation:
Each of the latter three answers demonstrates one change of sign in its coefficients. According to Descarte's Rule of Signs, that means each of them has one positive real root. If there is a positive real root, the only two real roots will not be -4 and -1 (both negative).
The only viable option is the first one.
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There are other ways you can go at this. I like to let a graphing calculator show the zeros of functions of higher degree. Only the first function has only the two real roots given.
You can also evaluate each function or do synthetic division to see which polynomial has -1 or -4 as a root. Shown in the second attachment is the first function evaluated for x=-1.
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Step-by-step explanation:
To multiply the fractions, like
Multiply the top,
then multiply the bottom.
Try to use a calculator if you aren't arithmetic heavy, but I suggest you to try to remember them because they are going to be helpful for courses like Algebra, Calculus, Statistics, etc.
To divide fractions, like
You take the top number,
Then you flip the bottom number,
Then multiply the two
And that is your answer. Comment if you need more clarification