Factor completely. ax^2 - 18ax + 77a

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samhouston | Middle School Teacher | (Level 1) Associate Educator

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First, factor out a.
ax^2 - 18ax + 77a
a(x^2 - 18x + 77)

Next, find two numbers whose product is 77 and sum is -18.
-7 * -11 = 77
-7 + -11 = -18

Now use these numbers to factor the trinomial.
a(x - 7)(x - 11)

Final Answer:
a(x - 7)(x - 11)

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