Question

Factorize : x2-8x-20

Answer 1

Answer:

(x+10)(x-2)

Step-by-step explanation:

x²-8x-20

x²-2x+10x-20

(x²-2x)+(10x-20)

x(x-2)+10(x-2)

(x+10) (x-2)

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Answer 2

Answer:

On factorizing $x^{2} -8x -20$ we get factors as , $( x + 2 )( x - 10 )$ and value of $x$as $x = -2$ or $x = 10$ .

Step-by-step explanation:

To factorize : $x^{2} -8x -20$

Solution :

• According to question we are asked to factorize $x^{2} -8x -20$ .  
• To factorize we split the middle term of the expression .  
• We spilt the middle term such that product of the numbers is last term and sum or difference of those numbers is middle term.
• Here, $-8x$ is the middle term and $-20$ is the last term.

      $x^{2} -8x -20 \\\\=x^{2} + 2x -10x - 20 \\\\= x( x + 2 ) -10 ( x + 2) \\\\ = (x + 2)( x - 10 ) \\\\ x = -2 \ or \ x = 10$