What value should Simon write on the line?

-6

-2

2

6

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What value should Simon write on the line? -6 -2 2 6

What value should Simon write on the line?

-6

-2

2

6

[tex]x^2- 4x-12=\\ x^2+2x-6x-12=\\ x(x+2)-6(x+2)=\\ (x-6)(x+2)[/tex]

It's 2.

2

Step-by-step explanation:

You have to find a number that added with -6 equals -4, and multiplied equals -12.

Just have to do the opperations and that is all!

[tex](x-6)(x+2)=x^2+2x-6x-12=x^2-4x-12[/tex]

Hope you like it!

Hence, the value that Simon should write on the line i.e. in the blank space is: 2

( Since, [tex]x^2-4x-12=(x+2)(x-6)[/tex] )

Step-by-step explanation:

We are asked to fill in the blank with the value obtained on factoring the polynomial:

[tex]x^2-4x-12[/tex]

on sing the method of splitting the middle term we will factor our polynomial as follows:

[tex]x^2-4x-12=x^2-6x+2x-12\\\\x^2-4x-12=x(x-6)+2(x-6)\\\\x^2-4x-12=(x+2)(x-6)[/tex]

Hence, the value that Simon should write on the line i.e. in the blank space is: 2

( Since, [tex]x^2-4x-12=(x+2)(x-6)[/tex] )

Option C is the answer.

Step-by-step explanation:

Simon is factorizing the polynomial x² - 4x - 12 = (x - 6)( x + )

We will factorize the left hand side of the given expression

x² - 4x - 12

= x² - 6x + 2x - 12

Now we will break 12 into the factors so that sum of the factors should equal to 4

{ 6 × 2 = 12 and 6 - 2 = 4]

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

= (x + 2)(x - 6)

Therefore, the blank space should be replaced by 2.

Option C is the answer.

Simon is factoring the polynomial. x2 – 4x – 12 (x – 6)(x + 2). The value should Simon write on the line is 2

Step-by-step explanation:

It is two just took quiz

If you would like to know what value should Simon write on the line, you can calculate this using the following step:

x^2 - 4 * x - 12 = (x - 6) * (x + 2)

The correct result would be 2.