SOLUTION: f(x)=2x^4-x^3-7x^2+4x-4 I am looking for all real zeroes.

Question 1053299: f(x)=2x^4-x^3-7x^2+4x-4 I am looking for all real zeroes.
Answer by ikleyn(52847) (Show Source): You can put this solution on YOUR website!
.
According to the rational root theorem, rational roots, if exist, must be among the numbers 1, -1, 2, -2.

Check them.

Do you know what to do next?

Plot y =

Next you should divide your polynomial by (x-2)*(x+2) = (based on the Remainder Theorem) and analyse the quotient polynomial.

On the Rational Roots Theorem see this Wikipedia article.

On the Remainder Theorem see the lesson
- Divisibility of polynomial f(x) by binomial x-a
in this site.

As your assistant, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this textbook under the topic "Remainder theorem".

RELATED QUESTIONS
I am so confused on how to find the rest of the zeroes. All I am given is this:... (answered by KMST)

For the polynomial function f(x) = x^4 - x^3 - 2x^2 - 4x - 24 Find all real zeroes... (answered by venugopalramana)

Find all the zeroes, real and/or complex, for... (answered by ReadingBoosters)

find all zeroes of the polynomial function h(x) = x^4 + 4x^3 + 7x^2 + 16x +... (answered by josgarithmetic)

FIND ALL REAL ZEROES OF THE FUNCTION F(X)=2X^3+15X^2+22X-15 (answered by lynnlo)

Find all the zeroes for f(x)=x^3+4x^2-5x and write the function f(x) as a product of... (answered by ewatrrr)

Find the zeroes of f(x) = x^4-x^3-4x^2+4x. thanks in... (answered by stanbon)

I am trying to find all zeroes of P(x) = 6x^4 - 7x^3 - 8x^2 + 5x. Using synthetic... (answered by stanbon)

find all real zeros of the function... (answered by robertb,jsmallt9)