Math, asked by sunitakothari92, 10 months ago

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

Answers

Answered by ShubhamGupta020
7

Answer:

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Answered by MissKalliste
9

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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