Question

Factorise 6x^2 + 11x + 4​

Answer 1

Answer:

Step-by-step explanation:

6x^2+11x +4

Multiply the constant 4 by 6x^2.

Hence 4 times 6x^2 = 24x^2

Get two numbers when you multiply them it will give you 24 but if you add them it will give 11.

The numbers are +8 and +3 because +8 x +3= +24

and +8 + 3 = 11.

Substituting +8x +3x as 11x in the equation:

6x^2 +8x +3x +4

(6x^2+ 8x) + (3x + 4)

Factorizing the common things in the bracket.

2x(3x + 4) +1 (3x +4) since the common factor between (3x + 4) is 1.

Grouping the values outside together: (2x+1) (3x +4) =0

Therefore, 2x + 1 = 0 or 3x +4 = 0

2x = -1 or 3x = -4

x = -1/2 or -4/3.

Thanks.

Answer 2

(3x+4)(2x+1)

If the question asks you to find roots/solutions:

3x + 4 = 0
3x = -4
x = -1.33333333

2x + 1 = 0
2x = -1
x = -0.5