Question

factorise : 2 x^ 2 +9 x +4 by splitting middle term.​

Answer 1

here's your answer hope it helps

Answer 2

ANSWER:

To Factorize:

• 2x² + 9x + 4

Solution:

We are given that,

⇒ 2x² + 9x + 4

Now, we need to split the middle term in such a way, that the sum of the numbers obtained is 9x and the product is 8x².

So,

Factors are: x and 8x

⇒ Product = (x)(8x) = 8x²

⇒ Sum = x + 8x = 9x

Hence,

⇒ 2x² + 9x + 4

⇒ 2x² + x + 8x + 4

Taking x common,

⇒ x(2x + 1) + 8x + 4

Taking 4 common,

⇒ x(2x + 1) + 4(2x + 1)

Taking (2x + 1) common,

⇒ (2x + 1)(x + 4)

Hence, the factorization of 2x² + 9x + 4 yields (2x + 1)(x + 4).