Subtract d³ + 6d² + 6d + 6 from d⁴ + 9d² + 5d - 9 using a vertical format. A) d⁴ - d³ + 3d² + 11d - 3 B) d⁴ + d³ + 3d² + 11d - 15 C) d⁴ - d³ + 3d² - d - 15 D) d⁴ + d³ + 3d² - d - 3

Question

Quizplus · Accepted Answer

Subtracting the given polynomials vertically, we subtract coefficients of like terms directly. For d⁴, there's no subtraction, so it remains as is. For d³, subtracting it once gives a negative sign. For d², 9 minus 6 gives 3. For the constant term, 5d minus 6d gives -d, and -9 minus (-6) gives -15.

Subtract D3 + 6d2 + 6d + 6 from D4

Subtract D³ + 6d² + 6d + 6 from D⁴