SOLUTION: find the zeros of the polynomial funciton F(x)=x^3+x^2-42x

Question 690722: find the zeros of the polynomial funciton F(x)=x^3+x^2-42x
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Factoring would help us find the zeros.
--> would be a first step (taking out the common factor ).
Factoring further is very easy if you have practiced factoring.
If not, here is how you would do it:
To factor <-->
we look for a pair of factors that multiply to give 42,
because we need to find numbers and such that and .
We look for the smaller factor, starting at 1 and going up until we get to the larger factor:
We can find four such pairs of factors:

( and are not factors; they do not divide evenly)
( is the same product and is the larger factor here)
Now we consider that for the negative product , one of those factors must be negative.
Since and , and are our numbers.
and
with zeros for x values that make
<--> ,
<--> , and
<--> .
RELATED QUESTIONS
find the zeros of the polynomial function f(x) = x^3 + x^2 -... (answered by reviewermath)

find the zeros of the polynomial function x^3+x^2-42x (answered by tommyt3rd)

Find the zeros of the polynomial function. f(x) = x3 + x2 - 42x (answered by ewatrrr)

Find the domain of the funciton f(x) = square root x^2 + 6... (answered by Mathtut)

find all the zeros of this polynomial function... (answered by lwsshak3)

Find the zeros of the polynomial f(x)=x^3 + x^2 - 12x =... (answered by jim_thompson5910)

Find the zeros of the polynomial f(x)=... (answered by LinnW)

Find all the zeros of the polynomial function. f(x) = {{{... (answered by KMST)

Find all the zeros of the polynomial function. f(x) = {{{... (answered by jsmallt9)