Questions about quadratic functions and equations, second degree polynomials usually in the forms $y=ax^2+bx+c$, $y=a(x-b)^2+c$ or $y=a(x+b)(x+c)$.

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I've come across a problem that results in the equation: $t -2t\sin t -2\cos t -2 = 0$ I've tried to do this analytically but I can't figure it out. At this point, I just want to know if it's even ...
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### If a downwards curve's tangent point is at $(0, -15)$, what is the equation for the tangent line of this curve?

Question is in the title. If a downwards curve's tangent point is at $(0, -15)$. So, what is the equation for the tangent line of this curve? Edit: the equation of the curve is $y = x^2 + 2x - 15$
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### Multiplying by $1$ adds a solution to an equation

I have a question, which is motivated by my book's solution to finding the inverse function of $f(x)=\frac{x}{1-x^2}$ with the domain of $f(x)$ restricted the open interval $(-1,1)$. The questions are ...
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### What's the value of a quadratic function when $x=0$ if the degree of the constant term is $0$? [duplicate]

The degree of the constant term in a quadratic (or any polynomial) is $0$. Say, I have the following quadratic function: $$f(x) = 2x^2 + 4x +7$$ Since the degree of the constant term is $0$, I can ...