Verified Answer :

charlottekrist

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

botellok

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).

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