Option (B) f(x) = (x - 5)(x + 1) is the factored form for the quadratic function is the correct answer.
When the quadratic expression is a product of two factors where each one is a linear expression, this is called the factored form. The given number or polynomial is expressed as a product of the simplest possible form.
For the given situation,
The solution of the quadratic equation are 5 and -1.
The general form of quadratic equation is [tex]Ax^{2}+Bx+C=0[/tex]
When we equate the solution to the variable x, we can obtain the factored form of that equation.
For [tex]x=5\\[/tex]
⇒ [tex]x-5=0[/tex]
For [tex]x=-1[/tex]
⇒ [tex]x+1=0[/tex]
Thus the quadratic function can be expressed as f(x) = (x - 5)(x + 1).
Hence we can conclude that option (B) f(x) = (x - 5)(x + 1) is the factored form for the quadratic function is the correct answer.
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