Question
Fill in the blanks to show what the quadratic expression would look likewhen factored.
1.x^2= (__) (__)
2. 3x= __9 (x^2 —2x +3)
3. 9x= (__) (__) +5
Number bank:
1
2
3
5
10
3x
9x
1.x^2= (__) (__)
2. 3x= __9 (x^2 —2x +3)
3. 9x= (__) (__) +5
Number bank:
1
2
3
5
10
3x
9x
Answers
GPT-4o mini
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
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