Question

Factorise (f) x2 - 5x - 14​

Answer 1

Answer:

(x+2)(x-7)

Step-by-step explanation:

x²-7x+x-14x

x(x-7)+2(x-7)

(x+2)(x-7)

Answer 2

Answer:

On factorizing $x^{2} -5x -14$ we get , factors $( x + 2 )( x - 7 )$ .

Step-by-step explanation:

To factorize : $x^{2} -5x -14$

Solution :

• According to question we are asked to factorize given expression .
• We factorize the expression by splitting the middle term.
• 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, $-5x$ is the middle term and $-14$ is the last term.

       $x^{2} -5x -14\\\\=x^{2} +2x -7x -14\\\\=x( x + 2 ) -7 ( x + 2 ) \\\\= ( x + 2 )(x -7 )$