Friday

April 18, 2014

April 18, 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 ! :)

**Related Questions**

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

math - can someone show me the steps for finding the answer for Y^3+Y^2-4x-4 and...

Math - 2^(5/2)-2^(3/2) Can someone show me in steps how to do exponents as ...

Math - Can someone help me with this problem and show the steps: 4m-7 ______ = ...

math/ algebra 1 - can someone please help me explain how they got this answer ...

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

Math 12 - Review - Factoring - Can someone show me the steps to do this question...

Math - Functions - r = -5x^2 + 73x Can someone show me the steps to complete the...

math - Can someone show me the steps necessary to simplify the expression by ...

Math - I am stuck on trying to figure out how to do this question. Could someone...