Find the product of (4x − 3)(2x² − 7x + 1).

The multiplication of algebraic expressions is a method of multiplying two given expressions consisting of variables and constants.

Answer: The product of (4x − 3)(2x² − 7x + 1) is 8x³ - 34x² + 25x - 3

Let us simplify the cubic polynomial to obtain the product.

Explanation:

(4x − 3)(2x² − 7x + 1) = 4x(2x² − 7x + 1) - 3(2x² − 7x + 1)

= 8x³ - 28x² + 4x - 6x² + 21x - 3

= 8x³ - 34x² + 25x - 3

Hence, the product of (4x − 3)(2x² − 7x + 1) is 8x³ - 34x² + 25x - 3