What do you you multiply to get 35 and can also add to get -2? Same question but multiply to get 24 and add to get 11?

Question

What do you you multiply to get 35 and can also add to get -2?  Same question but multiply to get 24 and add to get 11?

anonymous · Answer

The first doesnt have one, the second one is8 * 3

anonymous · Answer

Thank you.  What do I do with the first one though?  I have to factor 5x^2 - 2x - 7

anonymous · Answer

(5x - 7    )( x  +  1 )

anonymous · Answer

I have to show my work. How did you get that.  Here is the whole question I had to choose two equations from like five.  I chose 5x^2 - 2x - 7   and 8x^2 - 11 + 3.  I have to explain how to factor the two separately.

anonymous · Answer

first assume you can separate so

( 5x        ) (  x         )

that gives you 5x * x =  5x^2, next find numbers to get -7

7 *  -1,   -7 * 1

anonymous · Answer

(5x + 7) ( x -1 ) but this will give you +2x when you multiply 7*x - 5x

anonymous · Answer

so lets use the other pair - 7 * 1

(5x -7)(x +1) now just distribute

5x^2  - 7x  + 5x -7 = 5x^2 -2x - 7

anonymous · Answer

I am factoring by grouping.

anonymous · Answer

could you explain

anonymous · Answer

Never mind.  What you did was perfect thank you.