Answer:
(x+6)(x+4).
Step-by-step explanation:
We have the expression
[tex]x^2 + 10x + 24[/tex]
As it is a quadratic formula with leading coefficient 1 (coefficient of x^2) , we can use the case of factorization of the form [tex]x^2+bx+c[/tex].
So, first we put two parenthesis with x:
(x+ )(x+ )
The left sign is the sign of the middle term and the second sign is the multiplication of both signs of the expression (+ * + = +).
Now, we search two numbers that added are 10 and multiplied are 24. Those numbers are 6 and 4. Then the factorization will be
(x+6)(x+4).
