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Answer:

Step-by-step explanation:

hello :

factor :  x²-17x+72

the disciminent delta = b²-4ac   when : a=1  and b=-17 and  c=72

delta =(-17)²- 4(1)(72) = 289 - 288=1

X1 = (-(-17)-1)/2       X2= (-(-17)+1)/2

X1 = 8   and  X2 =  9

so :  x²-17x+72 =a(x-x1)(x-X2)

x²-17x+72 = (x-8)(x-9)

Answer:

(x-9)(x-8)

Step-by-step explanation: