Question

In the expression \(4 x^{2}-7 y-8,\) what is the coefficient of the \(x^{2}\) -term? What is the coefficient of the \(y\) -term?

Short answer

The coefficient of the \(x^{2}\) term is \(4\) and the coefficient of the \(y\) term is \(-7\).

Step-by-step solution

Identification of the Coefficients

In the given expression \(4 x^{2}-7 y-8\), the term \(x^{2}\) has a coefficient of \(4\) (which is the numerical part that multiplies the variable \(x^{2}\)) while the term \(y\) has a coefficient of \(-7\) (since the negative sign is also considered as part of the coefficient).