Question

What constant should be subtracted from 2x3 – 3x2 – 6x – 10 to make it divisible by x + 1?

Answer 1

Step-by-step explanation:

-10 is your answer hope it will help you please mark my answers as a brainliast

Answer 2

Remainder Theorem Problem

• Remainder theorem. If a polynomial f(x) is divisible by (x - α), the remainder is f(α). For divisibility, we must have f(α) = 0.

• Given: the polynomial is 2x³ - 3x² - 6x - 10

• To find: what constant should be subtracted from 2x³ - 3x² - 6x - 10 to make it divisible by x + 1

• Solution:
• Here f(x) = 2x³ - 3x² - 6x - 10
• And α = - 1
• Then f(α) = 2 (- 1)³ - 3 (- 1)² - 6 (- 1) - 10
• = 2 (- 1) - 3 (1) + 6 - 10
• = - 2 - 3 + 6 - 10
• = - 9

• Answer: (- 9) should be subtracted from 2x³ - 3x² - 6x - 10 to make it divisible by x + 1.