Hi guys if you can please help, i left my maths text book in my locker at school and not really sure on how to do this problems and i got a test on Monday.
1. Use long devision to divide:
6x^4+10x^3+13x^2-5x+2/2x^2-1
I know how to use long division, but for this one answears dont add up, im thinking maybe theres a type-o in it somewhere?
2. Use synthetic devision to divide:
5x^3+33x^2+50x-8/x+4
Ok for Q2 i got and wondering if its right, 5x^3+53x^2+162x+640/x+4
3. Find all rational zeros of the function:
f(x)=25x^4+25x^3-154x^2-4x+24
4. Given that (1-i) is a zero of the function:
f(x)=4x^4-11x^3+14x^2-6x
Find all the zeros of the function.
For no2 5x^3+33x^2+50x-8=(x+4)( ) We need the 2nd bracket
It must clearly start with 5x^2 and end with -2 So our expression=(x+4)(5x^2 +?-2) Clearly ? is an x term
As it stands when multiplied out we have 20x^2. We require +33x^2 So we need another 13x^2 which we will get if we put ?=13x
So we have (x+4)(5x^2+13x-2) ( notice this does give us the +50x we require) So answer is 5x^2+13x-2