Find the coefficient of x and constant term in (5x + 2) × 3.

1 answer

To find the coefficient of \( x \) and the constant term in the expression \( (5x + 2) \times 3 \), we can start by distributing \( 3 \) to both terms inside the parentheses.

\[ (5x + 2) \times 3 = 5x \times 3 + 2 \times 3 \]

Calculating each term:

  1. For \( 5x \times 3 \): \[ 5x \times 3 = 15x \] The coefficient of \( x \) here is \( 15 \).

  2. For \( 2 \times 3 \): \[ 2 \times 3 = 6 \] This is the constant term.

Putting it all together, the expression simplifies to: \[ 15x + 6 \]

Thus, the coefficient of \( x \) is \( 15 \) and the constant term is \( 6 \).