Question

Factor completely: x2 + 10x + 24

Prime
(x + 12)(x + 2)
(x + 3)(x + 8)
(x + 6)(x + 4)

Answer 1

(X+6)(x+4)
X^2 + 4x + 6x + 24
X^2 + 10x + 24

Answer 2

Answer:

(x+6)(x+4).

Step-by-step explanation:

We have the expression

$x^2 + 10x + 24$

As it is a quadratic formula with leading coefficient 1 (coefficient of x^2) , we can use the case of factorization of the form $x^2+bx+c$.

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).