Example Question - mathematical justification

Identifying Quadratic Expressions

<p>To determine if each expression is a quadratic expression, we must check if it can be written in the form of \( ax^2 + bx + c \), where \( a \neq 0 \).</p> <p>(a) \( x^2 - 5 \) is a quadratic expression (it has \( a = 1 \)).</p> <p>(b) \( 2x^2 - x \) is a quadratic expression (it has \( a = 2 \)).</p> <p>(c) \( 3y^2 - 3x + 1 \) is a quadratic expression (it has \( a = 3 \)).</p> <p>(d) \( 2m^2 \) is a quadratic expression (it has \( a = 2 \)).</p> <p>(e) \( \frac{p^2}{1} - \frac{1}{2}p + 3 \) is a quadratic expression (it has \( a = 1 \)).</p> <p>(f) \( n(n - 2) \) is not a quadratic expression in standard form (it needs expansion to determine the degree).</p>