Question

factorise the following...b...2x^2+7x+6​

Answer 1

Answer:

Use the new AC Method (Socratic Search)

y

=

2

x

2

−

7

x

+

6

=

2(x + p)(x + q)

Converted

y

'

=

x

2

−

7

x

+

12

=

(x + p')(x + q')

Find p' and q', knowing sum (-7) and product (12). We get: p' = -3 and q' = -4.

Therefor: p = (p')/a = -3/2 and q = (q')/a = -4/2 = -2.

Factor form: y = 2(x - 3/2)(x - 2) = (2x - 3)(x - 2)

Answer 2

Answer:

(2x+3) (x+2)

Step-by-step explanation:

2x^2 + 7x +6

= 2x^2 + 4x + 3x +6

= 2x(x + 2) +3(x + 2)

= (2x + 3) (x + 2)