Question

Divide
find
5x^3 + 9x² + 8x +20 by x+ 2 and find
Quotient and remainder​

Answer 1

Answer:

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Answer 2

Answer:

$\boxed{\sf The\:quotient\:is\:5x^2 - x + 10}$

$\boxed{\sf The\:remainder\:is\:0}$

Step-by-step explanation:

So, we can see that :

• Dividend = 5x³ + 9x² + 8x + 20
• Divisor = x + 2
• Quotient = 5x² - x + 10
• Remainder = 0

To verify,

• Dividend = (Divisor) × (Quotient) + Remainder

Let's put,

= 5x³ + 9x² + 8x + 20 = (x + 2) (5x² - x + 10) + 0

= 5x³ + 9x² + 8x + 20 = x(5x² - x + 10) + 2(5x² - x + 10) + 0

= 5x³ + 9x² + 8x + 20 = 5x³ - x² + 10x + 10x² - 2x + 20 + 0

= 5x³ + 9x² + 8x + 20 = 5x³ + 9x² + 8x + 20

Hence, Verified!

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