Respuesta :

2x² + 5x + 3
2x² + 2x + 3x + 3
2x(x) + 2x(1) + 3(x) + 3(1)
2x(x + 1) + 3(x + 1)
(2x + 3)(x + 1)

The missing number in Sari's factorization is the number 3.

Answer:

The missing number in Sari's factorization is 3.

Step-by-step explanation:

The given polynomial is,

[tex]=2x^2 + 5x + 3[/tex]

From quadratic equations, applying middle term factorization,

[tex]=2x^2 + 2x+3x + 3[/tex]

[tex]=2x(x + 1)+3(x + 1)[/tex]

[tex]=(2x+3)(x + 1)[/tex]

Comparing this to the given expression, the missing number in Sari's factorization is 3.