Respuesta :
Answer:
C. [tex]g(x) = -2 \cdot (x + 1)\cdot (x+7)[/tex]
Step-by-step explanation:
The polynomial form that reveals most quickly the zeroes is the form of a product of binomials. That is:
[tex]g(x) = \Pi\limits_{i=1}^{n} (x-r_{i})[/tex]
Where [tex]\Pi[/tex] is the product function and [tex]r_{i}[/tex] is the i-th root of the polynomial.
Hence, [tex]g(x) = -2 \cdot (x + 1)\cdot (x+7)[/tex] resembles a form that is close to the form described above. The right option is C.
The function g is in the form of g(x)=-2(x+1)(x+7) which reveals quickly the roots of the quadratic function choice (C) is correct.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function g(x)
Which is equivalent to:
g(x)=-2(x+4)²+18
g(x)=-2x²-16x-14
g(x)=-2(x+1)(x+7)
As we know in a quadratic function:
f(x) = ax² + bx + c
If the roots are α and β
So we can write th function as follows:
f(x) = (x -α)(x -β)
Thus, the function g is in the form of g(x)=-2(x+1)(x+7) which reveals quickly the roots of the quadratic function choice (C) is correct.
Learn more about the function here:
brainly.com/question/5245372
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