Posted by **JOSHI ** on Saturday, June 23, 2012 at 3:16am.

factorise:

1) x^4+10x^3+35x^2+50x+24

2) 3(a-b)(b-c)(c-a)

3) (a+b)^3-a-b

- maths -
**Reiny**, Saturday, June 23, 2012 at 8:58am
1. use the factor theorem

looking at 24, I tried ±1, ±2, ...

and found that x=-1 and x=-2 worked

so I used synthetic division consecutively and found

x^4+10x^3+35x^2+50x+24

= (x+1)(x+2)(x^2 + 7x + 12)

and the quadratic factors again, so the final factors are

(x+1)(x+2)(x+3)(x+4)

2. already fully factored

3. (a+b)^3 - a - b

= (a+b)^3 - (a+b)

= (a+b)( (a+b)^2 - 1) , last part is difference of squares

= (a+b)(a+b+1)(a+b-1)

## Answer This Question

## Related Questions

- maths - Factorize: 1.) 64x^3-y^3 2.) x^4+10x^3+35x^2+50x+24 3.) x^3/8-64-3x^2+...
- HELP MATH !! - Melanie charges $4.50 per hour when she washes cars, plus $5.00 ...
- Calculus. Please help! - Find the minimum value of the function f(x,y= 25x^2+3y^...
- Maths - How to do factorise ? What is Factorise ? Give me some examples ,please...
- algebra - find the slope and the y intercept 8-1/5y=10x -y/5=10x-8 y/5=-10x+8 y...
- algebra - factor the expression 4xsquared+35x+24 my answer: (4x+3)(x-8) 4x2 +35x...
- algebra - factor completely 75x^4+35x^3-10x^2
- math - 2. Geoff planted dahlias in his garden. Dahlias have bulbs that divide ...
- math - factor the following expression completely 75x^4+35x^3-10x^2
- math - 2. Geoff planted dahlias in his garden. Dahlias have bulbs that divide ...

More Related Questions