Question

Mia is factoring the polynomial x2 + 4x – 12. She uses the steps shown. In which step did Mia make an error? Step 1 Step 2 Step 3 Step 4

Answer 1

Answer:

Step-by-step explanation:

Lets factorize the equation.

x^2 + 4x - 12 = 0

The roots are :

-2 and +6

Doing the substitution :

x^2 + 6x - 2x - 12 = 0

x(x + 6) - 2(x + 6) = 0

(x - 2)(x + 6) = 0

Answer 2

Given:

The polynomial is:

$x^2 + 4x - 12$

To find:

The value of x = ?

Solution:

As we know,

⇒ $x^2+4x-12=0$

On factorizing the above polynomial, we get

⇒ $x^2+6x-2x-12=0$

⇒ $x(x+6)-2(x+6)=0$

⇒ $(x+6)(x-2)=0$

⇒            $(x+6)=0$

⇒                     $x=-6$

Or,

⇒            $(x-2)=0$

⇒                    $x=2$

The value is "x = -6" and "x = 2".