Answer:
A. 2x⁴ - 11x³ + 7x² + 5x - 3
Step-by-step explanation:
Given (2x² - 3x + 1)(x² - 4x - 3)
Multiply both polynomials by distributing the terms 2x², -3x, 1, to every term you have in the second polynomial respectively.
Thus,
2x²(x² - 4x - 3) -3x(x² - 4x - 3) +1(x² - 4x - 3)
Open the parentheses by multiplying
2x⁴ - 8x³ - 6x² - 3x³ + 12x² + 9x + x² - 4x - 3
Pair like terms
2x⁴ - 8x³ - 3x³ - 6x² + 12x² + x² + 9x - 4x - 3
2x⁴ - 11x³ + 7x² + 5x - 3
The right answer is: A. 2x⁴ - 11x³ + 7x² + 5x - 3
