9
AssignmentMultiple Choice

Multiplication of Polynomials

Question 9 • FL-1200330-Algebra 2 Sem 1 - Flex

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) = 2x⁴ − 4x³ + 10x², 4x(x² − 2x + 5) = 4x³ − 8x² + 20x, and −3(x² − 2x + 5) = −3x² + 6x − 15. Combine like terms: the x³ terms cancel, the x² terms give −x², and the x terms give 26x. The product is 2x⁴ − x² + 26x − 15, choice C.

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