Question

6a2+17a+12 factorize faster​

Answer 1

Answer:

(3a + 4)(2a + 3)

Step-by-step explanation:

Given : f(a) = 6a² + 17a + 12

By Middle Term Factorisation

→ f(a) = 6a² + 9a + 8a + 12

= 3a(2a + 3) + 4(2a + 3)

= (3a + 4)(2a + 3)

Answer 2

Given :-

6a² + 17a + 12 = 0

steps to follow :-

1. multiply the coefficient of the first and last term.
2. find the pairs of multiples.
3. choose one pair which makes the coefficient of the middle term either by addition or subtraction. use trial and error method.

⇒ 6a² + (9a + 8a) + 12 = 0

⇒ 6a² + 9a + 8a + 12 = 0

⇒ 3a(2a + 3) + 4(2a + 3) = 0

⇒ (2a + 3) + (3a + 4) final answer

if you further want to find it's zeroes, then simple equate with 0.