factor x^2+6x+9. show work

Question

jim_thompson5910 · Answer

Find two numbers that multiply to 9 and add to 6

jim_thompson5910 · Answer

Those numbers are?

anonymous · Answer

set up your problem as 
(x+ )(x+ )
then find the numbers you can use to multiply to get 9 and then have those numbers equal to 6.
once you find those numbers, you place those numbers after the plus sign in each () unit.
to check you do the problem.

anonymous · Answer

use ac factoring, example: x^2+5x+6. its in the form ax^2+bx+c. so, a =1, and c= 6. thus, ac=6. we will find numbers which when we multiply we get 6, and when we add we get 5 (coefficient of the middle term).

anonymous · Answer

so, 3 and 2, since 3*2 = 6, and 3+2 = 5. then, we will use this to rewrite the middle term, thus: x^2 +2x+3x+6.

anonymous · Answer

split it into two groups, where each group has a gcf, thus, (x^2+2x)+(3x+6). factor out the gcf from each group.

anonymous · Answer

so, x(x+2)+3(x+2).factor out the common factor, so, (x+2)(x+3).