Question
Find the coefficient of x and constant term in (5x + 2) × 3.
Answers
GPT-4o mini
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 \( 6 \).
\[
(5x + 2) \times 3 = 5x \times 3 + 2 \times 3
\]
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 \( 6 \).