multiply

Question

3x(2x
2
−5x+1)
Answer
Multiple Choice Answers
6, x, squared, minus, 15, x, plus, 36x
2
−15x+3
6, x, cubed, minus, 5, x, plus, 16x
3
−5x+1
5, x, cubed, minus, 15, x, squared, plus, 3, x5x
3
−15x
2
+3x
6, x, cubed, minus, 15, x, squared, plus, 3, x6x
3
−15x
2
+3x

Answer 1

To multiply \( 3x(2x^2 - 5x + 1) \), we will apply the distributive property:

1. Distribute \( 3x \) to each term inside the parentheses:

   \[ 3x \cdot 2x^2 = 6x^3 \] \[ 3x \cdot (-5x) = -15x^2 \] \[ 3x \cdot 1 = 3x \]

2. Combine these results:

   \[ 6x^3 - 15x^2 + 3x \]

Thus, the final result is:

\[ 6x^3 - 15x^2 + 3x \]

Among the given multiple choice answers, the correct one is:

6, x, cubed, minus, 15, x, squared, plus, 3, x.