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Sagot :
There are no factors of 6 that add up to -12.
Steps to factor:
- A quadratic equation be ax^2+bx+c
- You need 2 numbers which are factors of a×c and they add up to give sum b .
Option C is correct
Answer:
C. There are no factors of 6 that add up to -12.
Explanation:
Factorisation:
- quadratic equation: x² − 12x + 6
- using quadratic formula: [tex]\left[\begin{array}{ccc}x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}\end{array}\right][/tex]
[tex]\left\begin{array}{ccc}x = \frac{ -(-12) \pm \sqrt{(-12)^2 - 4(1)(6)}}{2(1)}\end{array}\right[/tex]
[tex]x = 6+\sqrt{30}[/tex] or [tex]x = 6-\sqrt{30}[/tex]
- It cannot be factored.
- there are no factors of 6 that add up to -12.
- There are factors of -12 that add up to 6.
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