Factor completely.2, x, squared, plus, 9, x, plus, 92x 2 +9x+9
Question
Factor completely.2, x, squared, plus, 9, x, plus, 92x 2 +9x+9
Solution 1
The expression you provided is 2x^2 + 9x + 9. To factor it completely, we first look for any common factors in all terms. In this case, there are no common factors other than 1.
Next, we look for factors of the product of the coefficient of x^2 (which is 2) and the constant term (which is 9) that add up to the coefficient of x (which is 9). The product of 2 and 9 is 18. The factors of 18 that add up to 9 are 3 and 6.
However, these factors do not help us factor the expression in the form (ax + b)(cx + d).
Therefore, the expression 2x^2 + 9x + 9 cannot be factored further.
Solution 2
The expression you provided is 2x^2 + 9x + 9. To factor this completely, we first look for any common factors in all terms. In this case, there are none.
Next, we look for factors of the quadratic expression. This is a quadratic expression in the form ax^2 + bx + c. We need to find two numbers that multiply to give ac (2*9 = 18) and add to give b (9).
However, there are no two numbers that satisfy these conditions for this quadratic expression. Therefore, the expression 2x^2 + 9x + 9 cannot be factored further.
Solution 3
The expression you provided is 2x^2 + 9x + 9. To factor this completely, we first look for any common factors in all terms. In this case, there are none.
Next, we look for factors of the product of the first and last terms (2*9=18) that add up to the middle term, which is 9. Unfortunately, there are no such factors.
Therefore, the expression 2x^2 + 9x + 9 cannot be factored further. It is already in its simplest form.
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