Question

(08.03 LC) Factor completely: x2 + 10x + 24 (5 points) Prime (x + 12)(x + 2) (x + 3)(x + 8) (x + 6)(x + 4)

Answer 1

Answer:

Option C is correct

Step-by-step explanation:

We need to factorize the expression:

$x^2+10x+24$

For factorization we need to break the middle term such that the product is equal to 24x^2 and the sum is equal to 10x

We know that 6*4 = 24 and 6+4 =10

So, solving

$=x^2+6x+4x+24$

Taking common

$=x(x+6)+4(x+6)$

$=(x+4)(x+6)$

So, the factors of

$x^2+10x+24$

are

$(x+4)(x+6)$

Hence Option C is correct