Walter690idn
Answered

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what are the factors of x^2-9x+18?
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Sagot :

Kateprecious63idn

Answer:

(x - 3) • (x - 6)

Step-by-step explanation:

Factoring x²-9x+18

The first term is, x² its coefficient is 1 .

The middle term is, -9x its coefficient is -9 .

The last term, "the constant", is +18

Step-1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18

Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is -9 .

-18 + -1 = -19

-9 + -2 = -11

-6 + -3 = -9 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and -3

x2 - 6x - 3x - 18

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-6)

Add up the last 2 terms, pulling out common factors :

3 • (x-6)

Step-5 : Add up the four terms of step 4 :

(x-3) • (x-6)

Which is the desired factorization

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