Factor completely and then place the factors in the proper location on the grid.
x2 + 13x + 36

Question

Factor completely and then place the factors in the proper location on the grid.
x2 + 13x + 36

anonymous · Answer

x^2 + 13x + 36
 find two numbers such that their sum is 13 and product is 36
 such two numbers are 9 and 4
 write 13x as 9x + 4x
 
x^2 + 9x + 4x + 36
 x(x + 9) + 4(x + 9) ...factored out x from first two terms and factored out 4 from last two terms
 (x + 9)(x + 4) ...factored out x + 9
 
these are the complete factors of x^2 + 13x + 36

anonymous · Answer

...........x ........+9...
 x ..... x^2..... +9x
 +4........4x ......+36