SOLUTION: I am having trouble finding roots. Here is where I am stuck on two problems: 1. Find all real roots: f(x) = x3 + 2x2 -13x + 10 2. Find all roots in the complex number system

Algebra.Com
Question 443850: I am having trouble finding roots. Here is where I am stuck on two problems:
1. Find all real roots: f(x) = x3 + 2x2 -13x + 10
2. Find all roots in the complex number system of: f(x) = x3 – 11x2 + 39x - 29
I understand when you can factor out after grouping but stuck here!

Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!
real roots should be factors of ___ the constant (last) term, divided by the coefficient of the cubed (first) term

both of these equations have 1 as a root, so x-1 is a factor

divide the equations by x-1 to get two quadratics, which can be factored or run through the quadratic formula

RELATED QUESTIONS

I am having problem with two questions Divide the following: 6x - 5 divide bar 30x4 - (answered by lwsshak3)
I am having trouble with this homeowrk question which is due tomorrow: find all the... (answered by stanbon)
i am having trouble finding the x and y intercepts of... (answered by richwmiller)
Could you please help me with this problem? I am given the function f(x)= x^2 + 2x + 6... (answered by solver91311,Theo)
1. Find all roots of x3 + 2x2 + 2x + 1. Hint: Find the rational one(s) first. A.... (answered by Alan3354)
i am stuck on this problem f(x)=9x^2+20x+1 and g(x)=9x^2-13x+31, find (fg)(0) any... (answered by ewatrrr)
Hi, I am having problems understanding a problem based on the rule of a function. The... (answered by ikleyn)
I am having trouble simplifying cube roots: (5xy^2)^1/3 *... (answered by Alan3354)
I am having problems solving this problem: f(x)=1/x, find... (answered by sdmmadam@yahoo.com)