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Factor out the GCF from the polyno 9x-27y+9

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Final answer:

To factor out the GCF from the polynomial 9x - 27y + 9, we can factor out 9 from each term, resulting in 9(x - 3y + 1).

Step-by-step explanation:

To factor out the GCF from the polynomial 9x - 27y + 9, we need to find the greatest common factor of the terms. In this case, the GCF is 9. So, we can factor out 9 from each term:

9x - 27y + 9 = 9(x - 3y + 1).

Therefore, the factored form of the polynomial is 9(x - 3y + 1).

User Jason Turner
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Final answer:

The GCF of the polynomial 9x - 27y + 9 is 9. Factoring it out, we get 9(x - 3y + 1). It is important to check the factoring by multiplying back to the original polynomial.

Step-by-step explanation:

The question is asking to factor out the Greatest Common Factor (GCF) from the polynomial 9x - 27y + 9. To do this, we must identify the largest factor that is common to all three terms. In this case, the GCF is 9. Factoring out the GCF, we divide each term by 9 and get the factored polynomial as 9(x - 3y + 1). This simplifies the expression and is the required factored form.

Some key points to remember when factoring:

  • Identify the GCF for all terms in the polynomial.
  • Divide each term by the GCF and write the expression inside parentheses.
  • Check the answer to ensure that it is reasonable by multiplying back to see if you get the original polynomial.

User Possa
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