RaeJordaisefish
RaeJordaisefish RaeJordaisefish
  • 26-04-2016
  • Mathematics
contestada

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

2x2 + 5x + 3

= (2x +
)(x + 1)

Respuesta :

Panoyin
Panoyin Panoyin
  • 26-04-2016
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 Link
InesWalston
InesWalston InesWalston
  • 03-12-2018

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.

Answer Link

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