Question

Sari is factoring the polynomial 2x2 + 5x + 3. What is the missing number in her factorization?

2x2 + 5x + 3

= (2x +
)(x + 1)

Answer 1

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 2

The missing number in Sari's factorization is 3.

Explanation:

The given polynomial is,

`=2x^2 + 5x + 3`

From quadratic equations, applying middle term factorization,

`=2x^2 + 2x+3x + 3`

`=2x(x + 1)+3(x + 1)`

`=(2x+3)(x + 1)`

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