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12 May, 12:15

Which statement justifies that 3x^2 - x - 5 multiplied by 2x^2 - x - 3 obeys the closure property of multiplication?

The result 6x^4 + x^2 + 15 has a degree of 4.

The result 6x^4 + x^2 + 15 is a trinomial.

The result 6x^4 - 5x^3 - 18x^2 + 8x + 15 is a polynomial.

The result 6x^4 - 5x^3 - 18x ^2 + 8x + 15 has a degree of 4.

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  1. 12 May, 13:24
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    (3x² - x - 5) (2x² - x - 3)

    3x² (2x² - x - 3) - x (2x² - x - 3) - 5 (2x² - x - 3)

    6x⁴ - 3x³ - 9x² - 2x³ + x² + 3x - 10x² + 5x + 15

    6x⁴ - 3x³ - 2x³ - 9x² + x² - 10x² + 3x + 5x + 15

    6x⁴ - 5x³ - 18x² + 8x + 15

    The result 6x^4 - 5x^3 - 18x^2 + 8x + 15 is a polynomial.
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