Question

Answer the question in division manner​

Answer 1

Answer:

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Answer 2

★ Question:

Divide x³ + 7x² - 6x - 72 by (x + 6) using long division method.

Answer:

• Quotient ➝ x² + x - 12
• Remainder ➝ 0

Step-by-step explanation:

x² + x - 12

x + 6 ) x³ + 7x² - 6x - 72

x³ + 6x²

x² - 6x - 72

{-} x² + 6x

- 12x - 72

{-} - 12x - 72

0

VERIFICATION:

Dividend = Divisor × Quotient

⇒ x³ + 7x² - 6x - 72 = (x + 6) × (x² + x - 12)

⇒ x³ + 7x² - 6x - 72 = x³ + x² - 12x + 6x² + 6x - 72

⇒ x³ + 7x² - 6x - 72 = x³ + 7x² - 6x - 72

⇢ LHS = RHS

Hence verified ✅