Question

factorize:
4x + 9x² + 5

Answer 1

Answer:

$4x + 9 {x}^{2} + 5 \\ \\ 9 {x}^{2} + 4x + 5 \\ 9 {x}^{2} + 9x - 5x + 5 \\ 9x(x + 1) - 5(x + 1) \\ (x + 1)(9x - 5)$

Answer 2

Answer:

(9x - 5)(x + 1)

Step-by-step explanation:

4x + 9x² + 5  ⇔  9x² + 4x + 5

• We will factorize it using middle term splitting method.

9x² + 4x + 5  ⇒  9x² + 9x - 5x + 5

⇒ 9x(x + 1) - 5(x + 1)

⇒ (9x - 5)(x + 1)

∴ 9x² + 4x + 5  =  (9x - 5)(x + 1)