Simplify rational numbers

[bobisaka]

Hi guys,

I am stuck at solving the middle polynomial in the numerator, can't make it fit to FOIL, AC method.
Could you show me the correct method?

 

[pka]

I am stuck at solving the middle polynomial in the numerator, can't make it fit to FOIL, AC method.
Could you show me the correct method?
View attachment 17602

I thought foil was used in cooking??
Can you find two numbers \(a~\&~b\) such that \(a\cdot b=-10~\&~a+b=-3\)?
Can you find two numbers \(c~\&~d\) such that \(c\cdot d=-2~\&~c+d=1\)?

Suggestion: find a page of multiplication problems that look like \((x+4)(x-6)=?\)
Work fifty of them paying close attention to how the numbers go together.

 

[Steven G]

Hi guys,

I am stuck at solving the middle polynomial in the numerator, can't make it fit to FOIL, AC method.
Could you show me the correct method?

View attachment 17602

There is one polynomial in the numerator and it is x²-3x-10. x², 3x, -10 are the terms of the polynomial. What does it mean to solve -3x? Please ask questions that are clear. You obviously want to do something with the -3x. Fine. What exactly are you trying to do with it? Please explain?

I will give you a hint:
(1)*(-10) = -10
(3)*(no integer)=-10
(4)*(no integrer) = -10
(5)*(-2) = -10
(6)*(no integer)=-10
(7)*(no integer)=-10
(8)*(no integer)=-10
(9)*(no integer)=-10
(10)*(-1 )=-10

 

[HallsofIvy]

It shouldn't be that difficult! 2*5= 10 and 5-2= 3 and 2*1= 2 and 2- 1= 1.