Answer:
u(x) is the only quadratic function.
Step-by-step explanation:
We are given four algebraic functions in x and we have to find which one is a quadratic function.
Let us arrange those polynomials in descending powers of x.
i) \(u(x) = 3x^2-x-8\)
The highest degree is 2. Hence this is quadratic function.
ii) \(v(x) = 8x^3+2x^2+9x\)
The highest degree is 3 and hence this is cubic
iii) \(y(x) = 3x^5+x^2+4\)
The highest degree is 5 and hence this cannot be quadratic
iv) \(z(x) = 2x^3+7x^2-3\)
The highest degree is 3 and hence this is cubic
Hence u(x) is the only quadratic function.
