What is the degree of (x^3(x-2)^2)?

Correct answer: 5

The degree of a product of non-zero polynomials is the sum of the degrees of its factors. Here, \(x^3\) has degree 3 and \((x-2)^2\) has degree \(2\times 1=2\). Therefore, the total degree is \(3+2=5\). Option 6 is incorrect because the highest power of \(x\) in \((x-2)^2\) is only 2. Exam tip: For a polynomial written as a product of factors, add the degrees of the factors.