Question

Factorise x^2 + 8x +12

Answer 1

Answer:

Step-by-step explanation:

Given:

x² -8x +12

To factorise it .

Pre - requisite knowledge:

Quadratic Equation:

middle split term: The method of splitting the middle term of a quadratic equation so as to factorise it.

Solving Question :

we can use the quadratic equation or through middle split term method to factorise it.

Solution:

x² -8x +12 = 0

⇒ x² -6x -2x +12 = 0

or, x(x-6) -2(x -6) = 0

or, ( x -6) (x - 2) = 0

∴ x - 6 = 0

⇒ x = 6

and

x - 2 = 0

⇒ x = 2

∴ The value of 'x' is 2 and 6

Answer 2

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$\mathfrak{The\:Answer\:is}$

$x {}^{2} + 8x + 12$

$= > x {}^{2} + 6x + 2x + 12$

$= > x(x + 6) + 2(x + 6)$

$= > (x + 2)(x + 6)$

$\boxed{Hope\:This\:Helps}$

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