Question

Dvide if the polynomial does not divide evenly. Include the remainder as a fraction (18u^2 - 142u - 11) ÷ (u - 8)​

Answer 1

18u + 2 + 5/u - 8.

Explanation:

(18u^2 - 142u - 11) ÷ (u - 8)

= 18u + 2 + 5/u - 8.

Answer 2

• 18u + 2 + 5/(u - 8)

Explanation:

• (18u^2 - 142u - 11) ÷ (u - 8)​

• 18u^2 - 142u - 11 =
• 18u^2 - 8*18u + 2u - 11 =
• 18u(u - 8) + 2u - 16 + 5 =
• 18u(u - 8) + 2(u - 8) + 5 =
• (18u + 2)(u - 8) + 5

• (18u^2 - 142u - 11) ÷ (u - 8)​ = 18u + 2 + 5/(u - 8)