Respuesta :
Answer:
See a solution process below
Step-by-step explanation:
Because the x 2 coefficient is 1 we know the coefficient for the x terms in the factor will also be 1 :
( x ) ( x )
Because the constant is a positive and the coefficient for the x term is also a positive we know the sign for the constants in the factors will both be positive:
( x + ) ( x + )
Now we need to determine the factors which multiply to 36 and also add to 12:
1 × 36 = 36 ; 1 + 36 = 37 <- this is not the factor
2 × 18 = 36 ; 2 + 18 = 20 <- this is not the factor
3 × 12 = 36 ; 3 + 12 = 15 <- this is not the factor
4 × 9 = 36 ; 4 + 9 = 13 <- this is not the factor
6 × 6 = 36 ; 6+ 6 = 12 <- this IS the factor
( x + 6 ) ( x + 6 )
