Question

question 8 (2 points)
state the degree of the following function and identify if it is linear or quadratic
\\f(x) = 3x(x + 1)\\

degree 3, quadratic
degree 1, linear
degree 2, linear
degree 2, quadratic

Explanation:

Expand the function expression

$$ f(x) = 3x(x + 1) = 3x^2 + 3x $$

Determine the degree of the polynomial

$$ \text{Highest exponent of } x \text{ is } 2 \implies \text{degree } 2 $$

Identify the relation type

$$ \text{Degree } 2 \implies \text{quadratic} $$

Answer:

• degree 3, quadratic
• degree 1, linear
• degree 2, linear
• degree 2, quadratic (Correct answer)