Question

factorise x^2+9x-22​

Answer 1

x²+9x-22

= x² +(11x -2x )-22

=$x (x+11) -2 (x+11)$

=$(x-2) (x+11)$

Ans :- The factors are (x-2) and (x+11)

Answer 2

x² + 9x - 22 = (x + 11) (x - 2)

Given :

The expression x² + 9x - 22

To find :

To factorise the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

x² + 9x - 22

Step 2 of 2 :

Factorise the expression

$\displaystyle \sf{ {x}^{2} + 9x - 22 }$

$\displaystyle \sf{ = {x}^{2} + (11 - 2)x - 22 }$

$\displaystyle \sf{ = {x}^{2} + 11x - 2x - 22 }$

$\displaystyle \sf{ = x(x + 11) - 2(x + 11) }$

$\displaystyle \sf{ = (x + 11) (x - 2) }$

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