SOLUTION: Hello, can some one please help me factor these problems. I'm a little confused. Thanks. 1.3x^2+9x-30 2.m^3-27 3.4a^4b+32ab^4 4.15t^3-20t^2-20t

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hello, can some one please help me factor these problems. I'm a little confused. Thanks. 1.3x^2+9x-30 2.m^3-27 3.4a^4b+32ab^4 4.15t^3-20t^2-20t      Log On


   

Question 43930: Hello, can some one please help me factor these problems. I'm a little confused. Thanks.
1.3x^2+9x-30
2.m^3-27
3.4a^4b+32ab^4
4.15t^3-20t^2-20t
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
1.3x^2+9x-30 --> (3x-6)(x+5)

2.m^3-27 --> m^3-3^3 ... there is a standard identity for this type of polynomial but i cannot remember it. Look into your text books.

3.4a^4b+32ab^4 --> 4ab(a^3+8b^3) --> 4ab(a^3+2^3b^3) --> 4ab(a^3+(2b)^3). Again the bracket is factorised using the identity used in 2.

4.15t^3-20t^2-20t --> 5t(3t^2-4t-4) --> 5t(3t+2)(t-2)

jon