Question

Find the quotient of d - 2/d⁴ - 6d² + d + 17 :

a) 1/d³ - 2d
b) 1/d⁴ - 6d² + d + 17
c) 1/d⁵ - 8d³ + 2d + 34
d) 1/d⁴ - 6d²

Answer 1

To find the quotient, use polynomial long division to divide d - 2 by d⁴ - 6d² + d + 17. The quotient is 1/d³ - 2d.

Step-by-step explanation:

To find the quotient of d - 2 divided by d⁴ - 6d² + d + 17, we can use polynomial long division. First, we divide the first term, d, by the first term of the divisor, d⁴. This gives us d³.

Next, we multiply the divisor, d⁴ - 6d² + d + 17, by d³. This gives us d⁷ - 6d⁵ + d⁴ + 17d³. We subtract this from the original dividend, d - 2.

Continuing this process, we can find the quotient to be 1/d³ - 2d.