Question

factories x² - 8x - 84 using suitable identity​

Answer 1

Step-by-step explanation:

x^2-14x+6x-84

x(x-14)+6(x-14)

(x-14)(x+6)

x-14=0 or x+6=0

x=14 or x=-6

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Answer 2

Factorise form of x² - 8x - 84 is :-

⟹ x² - 14x + 6x - 84

⟹ x( x - 14) + 6 ( x - 14)

$\therefore$( x + 6) ( x - 14)

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$\rm \pink{How \: to\: find :}$

The constant in the expression is 84.

Constant :- It is a value that cannot be changed.

So ,

we will see the factors of 84 ⟹ 2,4,6,7

Now we will see the coefficient and variable, that is -8x ( 8 is coefficient and x is variable ) .

2 × 42 = 84

4 × 21 = 84

6 × 14 = 84

7 × 12 = 84

In this we can see that by - 14 + 6 we get - 8.

Which is same to the coefficient and variable= 8x.

So , we will place - 14x + 6x instead of -8x.

And will take x and 6 as common According to the expression.

From the expression we get :- x( x -14) + 6 ( x -14)

And we can now easily find the answer , that is (x + 6) ( x -14 )

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Hope this helps (◕ᴗ◕✿)