Respuesta :
Step-by-step explanation:
= (x - 3)(2x² - 5x + 1)
= 2x³ - 5x² + x - 6x² + 15x - 3
= 2x³ + (-5 - 6)x² + (1 + 15)x - 3
= 2x³ - 11x² + 16x - 3
Option → C
The product of the given polynomials is: C. 2x³ - 11x² + 16x - 3.
What is the Product of Two Polynomials?
The product of two polynomials is simply the multiplication of both polynomials together.
Given:
(x − 3)(2x² − 5x + 1)
Multiply using the distributive property
x(2x² − 5x + 1) -3(2x² − 5x + 1)
2x³ - 5x² + x - 6x² + 15x - 3
Combine like terms
2x³ - 11x² + 16x - 3
Therefore, the product of the given polynomials is: C. 2x³ - 11x² + 16x - 3.
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