Question

factorize:
4x² + 9x + 5

Answer 1

Answer:

(4x + 5)(x + 1)

Step-by-step explanation:

4x² + 9x + 5

= 4x² + 4x + 5x + 5

= 4x(x + 1) + 5(x + 1)

= (4x + 5)(x + 1)

Hope that helps you.☺

Answer 2

Answer:

4x² + 9x + 5  = (4x + 5)(x + 1)

Step-by-step explanation:

We will factorize (4x² + 9x + 5) by Middle-Term Splitting Method:

• According to the Middle-Term Splitting Method, we divide the middle term into two such parts, that their sum is  equal to the middle term and their product is equal to the first term.

4x² + 9x + 5  ⇔  4x² + 4x + 5x + 5

→ 4x² + 4x + 5x + 5  ⇒  4x(x + 1) + 5(x + 1)

⇒ (4x + 5)(x + 1)