Answer:
option 1
Explanation:
given
x² + 13x + 42
consider the factors of the constant term (+ 42) which sum to give the coefficient of the x- term (+ 13)
the factors are + 6 and + 7 , since
+ 6 × + 7 = + 42 and + 6 + 7 = + 13
use these factors to split the x- term
x² + 6x + 7x + 42 ( factor the first/second and third/fourth terms )
= x(x + 6) + 7(x + 6) ← factor out (x + 6) from each term
= (x + 6)(x + 7) ← in factored form