Question

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

Answer 1

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

Answer 2

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