15
AssignmentMultiple Choice

Multiplication of Polynomials

Question 15 • 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 in the first polynomial across the second: the products are 2x⁴ − 4x³ + 10x², 4x³ − 8x² + 20x, and −3x² + 6x − 15. Combine like terms: the x³ terms cancel, and the x² terms give 10x² − 8x² − 3x² = −x²; the x terms give 20x + 6x = 26x. The result is 2x⁴ − x² + 26x − 15, choice C.

AI-written and checked against the verified answer.

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