Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,932 users

Solve -x^3+2x^2+9x+22

0 votes

I need to find the real and complex solutions.

asked Feb 26, 2014 in ALGEBRA 1 by abstain12 Apprentice

1 Answer

0 votes

The cubic polynomial is -x 3 + 2x 2 + 9x + 22

f (x ) = -x 3 + 2x 2 + 9x + 22

Graph

The points where it crosses the x  axis  will give solutions to the polynimial function .

The graph crosses the x  - axis at a point that would suggest a factor.

It crosses the x  - axis at one point hence there are one real root.

x  = 4.8167

Use synthatic division to detrmine if the given value of is a root of the polynomial.

image

Since f (4.8167)   =   0,   x   =   4.8167 is a zero.

The depressed polynomial is  image

Since the depressed polynomial of this zero, image, is quadratic,

use the Quadratic Formula to find the roots of the related quadratic equation

 

image

image

image

image

image

image

The cubic polynomial  image

Real solution is  image

And complex solution is image.

answered Apr 30, 2014 by david Expert
edited Apr 30, 2014 by david

Related questions

asked Nov 17, 2014 in ALGEBRA 1 by anonymous
...