Fill in the blanks to show what the quadratic expression would look likewhen factored.

Question

1.x^2= (__) (__)
2. 3x= __9 (x^2 —2x +3)
3. 9x= (__) (__) +5

Number bank:
1
2
3
5
10
3x
9x

Answer 1

To fill in the blanks and factor the expressions based on your provided number bank, here are the answers for each expression:

1. x² = () ()
   The quadratic expression x² can be factored as:
   x² = (x)(x)

   So, the answer is:
   x² = (x)(x)

2. 3x = __9 (x² − 2x + 3)
   To factor 3x with respect to 9(x² - 2x + 3), we can identify the coefficient needed. Since 3x is equal to 3 multiplied by something, we need to find how to write 3 as a factor of 9. To do this, we can match coefficients. So:
   3x = 1 × 9 (x² - 2x + 3)

   The answer is:
   3x = 1 9 (x² - 2x + 3)

3. 9x = () () + 5
   To express 9x in terms of a product along with 5, we can express it as:
   9x = 9 (x) + 5

   So, the answer is:
   9x = (9)(x) + 5

In summary:

1. x² = (x)(x)
2. 3x = 1 9 (x² − 2x + 3)
3. 9x = (9)(x) + 5