Question

Which expression is equivalent to x^2 + 10x + 24?

(x + 12)(x - 2)


(x + 8)(x + 2)


(x + 6)(x + 4)


(x + 8)(x + 3)

Answer 1

(x + 6)(x + 4)

Explanation:

x² + 10x + 24

= x²+ 6x + 4x + 24=0

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

= (x + 6)(x + 4)

Answer 2

(x + 6)(x +4)

Explanation:

Factorization by splitting the middle term:

x² + 10x + 24

Sum = 10

Product = 24

Factors = 6 , 4

{When we multiply 6 and 4, we get 24 & when we add 6 and 4, we get 10}

x² + 10x + 24 = x² + 6x + 4x + 24 {Rewrite the middle term using the factors}

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

{Group the first two terms and third & fourth term together. Then take out the common factors}

= (x + 6)(x + 4)