Open study

is now brainly

With Brainly you can:

  • Get homework help from millions of students and moderators
  • Learn how to solve problems with step-by-step explanations
  • Share your knowledge and earn points by helping other students
  • Learn anywhere, anytime with the Brainly app!

A community for students.

P(x)=\[x^4-x^3-7x^2+x+6\] Solve P(x)>0

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Join Brainly to access

this expert answer

SEE EXPERT ANSWER

To see the expert answer you'll need to create a free account at Brainly

simplify the equation into its factors one factor being x-1 and find other factors then write down the domain of the factors, and you'll see the range is positive in certain domain that's the answer
factorise it and find zeros and use tabe
table method not tabe

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

@sauravshakya what is the table method?
table method: sit down at the table with pencil and paper :)
I will do for easy one ok suppose |dw:1344005362435:dw|
can you find the zeros then use synthetic division to reduce it to a smaller factor?
here |dw:1344005426187:dw|
can you use calculus?
no
x^4 + .... has the shape|dw:1344005576425:dw| knowing the min and max parts would be useful
|dw:1344005474076:dw| now using table |dw:1344005508829:dw|
so from the table we get|dw:1344005614786:dw|
use this similar method to solve your question @strawberry_militia
well, a quick trial and error gives me one zero: f(0) = 6 f(1) = 0
that should reduce it to a cubic
I have found the factors.
then plot them on a number line and take test point between the zeros to determine signage
write down the factors in coordinates form like if the four factors are a,b,c,d and a
to -inf and +inf should be positive just by the nature of the poly
and (d,infinity) then substitute a value in between (-infinity ,a) and check it is positive or not similiarly do for (a,b) (b,c) and (c,d) and (d,infinity)
so when you get a positive value..that is your required range
I will try it out. thanks for all your responses.

Not the answer you are looking for?

Search for more explanations.

Ask your own question