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Please help with factoring these x²-11x+18

User Yodacheese
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2 Answers

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x2-11x+18

Write - 11x as a difference:
x2- 2x - 9x + 18

Factor out x from the expression:
X x (x - 2) - 9x + 18

Factor out x - 2 from the expression and that would give you your answer:
(x - 2) x (x - 9)
User Neto Buenrostro
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4 votes

We want to factor x²-11x+18

In order to factor it, we must find two numbers that add to -11 and multiply to 18.

We will go through the list of factors of 18:

1, 2, 3, 6, 9, 18

We see that 9 and 2 multiply to 18. But we want two numbers that add to -11, so we will simply put a negative sign in front of 9 and 2.

-9 and -2 still multiply to 18 and they add to -11, so now we can factor the expression:

x²-11x+18 = (x-2)(x-9)

User Guillaume Esquevin
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