factoring

posted by .

let f(m)=m^3 + 3m^2 + 3m + 1

notice f(-1) = 0, so m+1 is a factor.
Using division, the answer is m^2 + 2m + 1 which factors once more to (m+1)(m+1)

so you have (m+1)^3 = 0
and then m = -1

Are you familiar with Pascal's triangle?
Did you notice the pattern in the coefficients 1 3 3 1 and descending powers of m?

good work Reiny.


can anybody help with factoring this problem

m^3 + 3m^2 + 3m + 1 = 0

Does it help to check to see if -1 is a root? If so, x-1 can be divided into the polynomial.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    how would you simplify y= (x^5-32)/(x-2)?
  2. math please

    what exactly is a prime factor would x-5 x+5 and x2+25 all be prime factors of x4-625?
  3. Algebra II factoring

    I need help. i am having trouble factoring trinomials into binomials. an example problem is 4n^2-5n-6 can someone show me step by step how to factor these kind of problems easily?
  4. math,correction

    can someone check these for me please.... problem#4 Directions: Factor each polynomial completely by factoring out any common factors and then factor by grouping. Do not combine like terms. 3a^3+3ab^2+2a^2b+2b^3 My answer: (a^2+b^2)(3a+2b) …
  5. MATH

    HOW DO I SOLVE A QUADRATIC EQUATION BY FACTORING?
  6. Algebra 1

    How to factor 10k^2+35k+15 completely? I would start with the easy: factor five out. 5(5k^2 +7x +3) Now the three tells you that the factors are probably 3,1 and the five tells you that the factors are probably 5,1 5(5k+3)(k+1) wrong,
  7. Math

    I have 4 math problems that need to be solved by using factoring. I am unable to figure the following out. I have used the FOIL method but it seems not to be working out. I appreciate any help I can get. Thanks ^ exponet 3x^3-7x^2+2x …
  8. Algebra

    (x+4)^2=18. (x+4)(x+4)-18= x^2+8x-2=0. (x )(x )I have no idea how to factor this because no factors of two will add up to 48. Can you offer an explanation and tips on factoring this sort of question?
  9. Algebra

    Factor find the zeros x^5-9x^3 Find the quotient and remainder using long division (x^3-x^2-2x+6)/(x-2) Use sythetic division and remainder therem to evalulate P(c) Let P(x)= 6x^7-40x^6+16x^5-200x^4-60x^3-69x^2+13x-… *Calculate P(7) …
  10. science help

    Two factors which cause global climate change are listed below. Factor 1: Volcanic eruptions. Factor 2: Changes in the amount of Sun’s heat received by the Earth’s atmosphere and surface. Which of these statements is correct about …

More Similar Questions