x^2-22x+40 (x-20)(x-2) The value of x can be 20 or 2
The factored form of the expression x 2 − 22 x + 40 is ( x − 2 ) ( x − 20 ) .[/tex]
To factor the expression [tex] x 2 − 22 x + 40 , we need to find two numbers that multiply to 40 and add to -22.
The numbers are -2 and -20, because ( − 2 ) × ( − 20 ) = 40 and (-2) + (-20) = -22\
So, we can rewrite the expression as: x 2 − 22 x + 40 = ( x − 2 ) ( x − 20 )
Therefore, the factored form of the expression x^2 - 22x + 40\) is \(\boxed{(x - 2)(x - 20)}\
The factored form of the expression x 2 − 22 x + 40 is ( x − 2 ) ( x − 20 ) by finding two numbers that multiply to 40 and add to -22. These numbers are -2 and -20. By rewriting the expression using these numbers, we achieve the factored form.
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