SOLUTION: please help me solve and understand this problem my math teacher gave me this work to due but i have been sick for a few weeks and i dont understand given the polynominal fun

Question 589748: please help me solve and understand this problem
my math teacher gave me this work to due but i have been sick for a few weeks and i dont understand
given the polynominal function f(x), find the rational zeros, than the other zeros (that is, solve the equation f(x)=0),and factor f(x) into linear factors
f(x)=x^3+2x^2+49x+98

please respons asap
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
f(x) into linear factors
f(x) = x^3 + 2x^2 + 49x + 98
x^3 + 2x^2 + 49x + 98 = 0
:
We can group factor here
x^2(x+2) + 49(x+2) = 0
:
Factor out (x+2)
(x+2)(x^2+49) = 0
x = -2; the rational 0
and
x^2 + 49 = 0
x^2 = -49
x = +/-
factor out the square root of -1
x = +/-
x = + 7i
x = - 7i

RELATED QUESTIONS
i need help with my math. my teacher gave me this assignment and i have never done... (answered by stanbon)

I was sick for a few days and got my school work to do at home and I came across this... (answered by rapaljer)

Hi I need help with a few math problems. I was sick when the teacher gave us the lesson.... (answered by jim_thompson5910)

Hi I have been wondering about this question for a long time. Our math teacher gave this... (answered by ikleyn)

Please help me! I don't understand this at all!! I have been out of school sick for the... (answered by bucky)

I need to know how to write a polynomial equation of least degree with roots -3i, 3i, i, (answered by scott8148)

My math teacher gave me a problem with the following instructions: "Write the equation... (answered by KMST)

my math teacher gave us a question like this.....find out if the statement is... (answered by Alan3354,rfer)

My son and I have been working on his homework for a few hours now. I can solve the... (answered by ankor@dixie-net.com,stanbon)