SOLUTION: I'm stuck on a problem. directions tell me to factor the polynomial. x^3 + 1 I would be very grateful for any help that you may give me. Thank you, Mike

Question 229231: I'm stuck on a problem. directions tell me to factor the polynomial.
x^3 + 1
I would be very grateful for any help that you may give me.
Thank you, Mike
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
factor the polynomial.
x^3 + 1
:
You should recognize this as "the sum of cubes", which factors as
(a^3 + b^3) = (a + b) (a^2 - ab + b^2)
:
In this problem a = x, and b = 1 (1^3 = 1)
x^3 + 1 = (x + 1) (x^2 - x + 1)
:
:
You can prove this to yourself: let x = 2
2^3 + 1 =
8 + 1 = 9
and
(2 + 1) (2^2 - 2 + 1)
3 * (4 - 2 + 1)
3 * 3 = 9 also
RELATED QUESTIONS
I would really be grateful for any help on this problem.... (answered by jsmallt9)

find the least integral upper bound of the zeros of the function {{{f(x)=x^3-x^2+1}}}... (answered by richard1234)

Respected Sir/Madam , Please help me to solve my logarithm problem (answered by Tatiana_Stebko)

Help! I am stuck on an equation. I need to factor: 4y squared + 7y - 2 I amd just... (answered by checkley71)

I have an extra credit question on my homework that I have no clue how to solve. I just... (answered by Gersid)

{{{ sqrt (6x+7) }}} - {{{ sqrt (3x+3) }}} = 1 I am supposed to solve the radical... (answered by stanbon)

On my homework i would need to factor the polynomials completely; and that some... (answered by rapaljer)

Help me please! {{{7/8 + 2a/12 = 3a/4 + 1/3}}} I will be very grateful f you would help... (answered by jim_thompson5910)

-1+19w=11w+23 I would be so grateful for any help ....I�m... (answered by jim_thompson5910)