Tuesday

October 21, 2014

October 21, 2014

Posted by **Rose** on Saturday, September 8, 2012 at 8:37pm.

1.) f(x) = 4x^4 -3x^3 +2x^2 +x-3

2.) f(x) = x^3 - 2x^2 -5x +6

3.) f(x) = -3x^3 -2x^2 + x -1

Thank you so much :)

- For what x ? -
**Damon**, Saturday, September 8, 2012 at 8:42pmYou only typed half the problem. Perhaps you are supposed to graph, not solve?

- Math -
**Rose**, Saturday, September 8, 2012 at 9:09pmsorry, i forgot to say the instructions said "find all possible rational roots"

- Math -
**Damon**, Saturday, September 8, 2012 at 9:23pmResult:

The roots of the polynomial 4x4 - 3x3 + 2x2 + x - 3 are:

X1 = 0.301 + 1.002*i

X2 = 0.301 - 1.002*i

X3 = 0.905

X4 = -0.757

- Math -
**Damon**, Saturday, September 8, 2012 at 9:24pmThat is from:

http://www.mathportal.org/calculators/polynomials-solvers/polynomial-roots-calculator.php

- Math -
**Damon**, Saturday, September 8, 2012 at 9:26pmAs you can see you really have to graph that polynomial to find the roots. If you have a graphing calculator, try that

Notice that it only crosses the x axis twice and then has a complex pair for the third and fourth roots

- Math -
**Damon**, Saturday, September 8, 2012 at 9:27pmFor the second one you can see that one is a root by inspection.

Then you can divide by (x-1) to get a quadratic which you can solve.

- Math -
**Damon**, Saturday, September 8, 2012 at 9:42pmBy the way if you tried all possible rational roots results on the first problem using factors of the first and last term 3 and 4 ( 3, 2, 4) you would have found that it has no rational factors by the rational root test.

- Math -
**Rose**, Sunday, September 9, 2012 at 12:12amthank you so much for your help ! :)

**Answer this Question**

**Related Questions**

Math - Solve for S: r^2s-5s=7. Solve for b: L= 4a^2b. I'm confused about how to ...

Math - Solve for x: x^4-15X^2+14=0 How would I solve this problem? Could someone...

math ergent please please... - 10.a)Solve the inequality x^3-5x^2+2x+8<0 by i...

MATH * - 0=-16t^2+80t+96 Solve for t. Can someone please show me the steps on ...

math - ln x^4 + ln X = 24 ln e. Find the value of x. ln x^5=24 x^5=e^24....next ...

College Math II - Solve by any method. a^4 – 5a^2 + 4 = 0 I am having problems ...

Math - What steps do I take in order to solve : (101-100) = .512 times (x/.5) ...

MATH - 20. A certain computer can perform 105 calculations per second. How many ...

quadratic - 0>x^2 +5x -2 Can someone help me solve for x and show me the ...

algebra - an someone show me the steps to solve this problem? x^2 + 5x +8 ...