10
AssignmentMultiple Choice

Multiplication of Polynomials

Question 10 • OK-Algebra II A

Multiply.(2x2 + 4x - 3)(x2 - 2x + 5)

Answer
A
2x4 + 7x2 - 15
B
2x4 - 8x2 - 15
C
2x4 - x2 + 26x - 15
D
2x4 + 8x3 - x2 + 26x - 15

Explanation

Distribute each term: 2x²(x² − 2x + 5) + 4x(x² − 2x + 5) − 3(x² − 2x + 5). Combining like terms gives 2x⁴ + (−4x³ + 4x³) + (10x² − 8x² − 3x²) + (20x + 6x) − 15 = 2x⁴ − x² + 26x − 15. This matches choice C.

AI-written and checked against the verified answer.

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