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HELP ILL MARK BRAINLIEST

Explain why you cannot factor the trinomialx2−12x+6



Question 8 options:

It can be factored


There are no factors of -12 that add up to 6.


There are no factors of 6 that add up to -12


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.