Respuesta :
Answer:
Order is B, D, A, C
Step-by-step explanation:
A.[tex]f(x) = x^2 - 11x - 12[/tex]
Product is -12 and sum is -11. factors are -12 and 1
[tex]f(x) = (x - 12)(x + 1)[/tex]
B.[tex]f(x) = x^2 - 4x - 12[/tex]
Product is -12 and sum is -4. factors are -6 and 2
[tex]f(x) = (x - 6)(x +2)[/tex]
C.[tex]f(x) = x^2 +x - 12[/tex]
Product is -12 and sum is +1. factors are +4 and -3
[tex]f(x) = (x +4)(x -3)[/tex]
D.[tex]f(x) = x^2 -x - 12[/tex]
Product is -12 and sum is -1. factors are -4 and +3
[tex]f(x) = (x -4)(x +3)[/tex]
A quadratic equation is in the form of ax²+bx+c.
What is a quadratic equation?
A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.
It is written in the form of ax²+bx+c.
A)
The quadratic equation can be solved as,
[tex]f(x) = x^2 -11x -12\\\\f(x) = x^2 -12x+x -12\\\\f(x) = x(x-12) +1(x-12)\\\\f(x) = (x+1)(x-12)[/tex]
B.)
The quadratic equation can be solved as,
[tex]f(x)=x^2-4x-12\\\\f(x) = x^2 - 6x+2x-12\\\\f(x)=x(x-6)+2(x-6)\\\\f(x)=(x+2)(x-6)[/tex]
C.)
The quadratic equation can be solved as,
[tex]f(x)=x^2+x-12\\\\f(x)=x^2 + 4x-3x-12\\\\f(x)=x(x+4)-3(x+4)\\\\f(x)=(x-3)(x+4)[/tex]
D.)
The quadratic equation can be solved as,
[tex]f(x) = x^2-x-12\\\\f(x) = x^2-4x+3x-12\\\\f(x)=x(x-4)+3(x-4)\\\\f(x)=(x-4)(x+3)[/tex]
Learn more about Quadratic Equations:
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