Respuesta :
The correct option is b.
Quadratic Equation
A quadratic equation is an equation that can be written in the form of
ax²+bx+c.
Where a is the leading coefficient, and
c is the constant.
Leading coefficient
The leading coefficient of an equation is a coefficient of the term having the highest power in the equation.
Given options:
a.) [tex]f(x) = -12x^2+3x+1 \\[/tex]
b.) [tex]f(x) = 3x^2+11x-12 \\[/tex]
c.) [tex]f(x) = 12x^2+3x+3\\[/tex]
d.) [tex]f(x) = 3x -12.[/tex]
Solution
As it is given that the leading coefficient of the equation is 3. therefore, the value of the 'a' in the general quadratic equation is 3,
3x²+bx+c,
Also, the value of the constant is -12, therefore, the value of c is -12,
3x²+bx-12
From all the given options the only feasible option is b only.
Hence, the correct option is b.
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