1. The problem asks to state the degree of each function and classify it as linear or quadratic. 2. Recall the definitions: - The degree of a polynomial is the highest power of $x$ in the expression. - A linear function has degree 1. - A quadratic function has degree 2. 3. Analyze each function: a) $f(x) = -4x(x - 1) - x$ Expand: $$f(x) = -4x^2 + 4x - x = -4x^2 + 3x$$ The highest power of $x$ is 2, so degree is 2. Since degree is 2, $f(x)$ is quadratic. b) $m(x) = -x^2 + (x + 3)^2$ Expand $(x+3)^2$: $$m(x) = -x^2 + (x^2 + 6x + 9) = -x^2 + x^2 + 6x + 9$$ Simplify: $$m(x) = \cancel{-x^2} + \cancel{x^2} + 6x + 9 = 6x + 9$$ Highest power of $x$ is 1, so degree is 1. Therefore, $m(x)$ is linear. c) $g(x) = 3x^2 + 35$ Highest power of $x$ is 2, so degree is 2. Therefore, $g(x)$ is quadratic. d) $g(x) = 3(x - 5)$ Expand: $$g(x) = 3x - 15$$ Highest power of $x$ is 1, so degree is 1. Therefore, $g(x)$ is linear. Final answers: - a) degree 2, quadratic - b) degree 1, linear - c) degree 2, quadratic - d) degree 1, linear