Tuesday

September 16, 2014

September 16, 2014

Posted by **Lily** on Saturday, May 18, 2013 at 9:22am.

0,1,3?

- Algebra 2 -
**Steve**, Saturday, May 18, 2013 at 12:04pmFor any polynomial of odd degree, large negative values of x yield large negative values for y.

Same for positive values. So, somewhere along the way, y must change from negative to positive, meaning there is at least one real root.

Now, it's quite possible that there is only on real root, leaving possibly 2 complex roots.

So, there are 0,2 possible complex roots.

Note I said complex, not imaginary. Imaginary numbers have no real part, so they look like 0+bi. Most complex roots have a nonzero real part, so they look like a+bi.

USEFUL FACT: For a polynomial with real coefficients (the vast majority of the examples you will encounter) the complex roots come in conjugate pairs, meaning there are always an even number of them. This fact will help you solve a lot of the problems posed.

- Algebra 2 -
**Lily**, Saturday, May 18, 2013 at 12:06pmThank you

**Answer this Question**

**Related Questions**

Algebra - State the possible number of imaginary zeros of g(x)= x^4+3x^3+7x^2-6x...

Algebra II - State the possible number of imaginary zeros of g(x)= x4 + 3x3 + ...

Algebra II - State the number of positive real zeros, negative real zeros, and ...

Math - State the number of positive real zeros, negative real zeros, and ...

algebra2 - state the number of positive real zeros, negative real zeros, and ...

Math Algebra - Use Descartes' Rule of Signs to determine the possible number of ...

college algebra--please help - what does Descartes rule of signs tell you about ...

algebra - Could you help me with this? find the real zeros of f(x) = x^3-8^2+9x+...

algebra 2 - help please!! state the possible rational zeros for each function. ...

algebra - 1)Use synthetic subsitution to find f(-3)for f(x)=x^4-4x^3+2x^2-4x+6 ...