Question

if (5x + 4x + 2)² - (4x+ - 5x + 7)² is divided by(x² + x + 1), then find the quotient and the remainder​

Answer 1

Answer:

Step-by-step explanation:

Given expression =9(x

2

+x+1)(x

2

+19x−5).

∴ when this is divided by x

2

+x+1, the remainder is zero.

Answer 2

$\) As given (5x²+14x+2)²−(4x²−5x+7)² is divided by x²+x+1</p><p>=((5x²+14x−5)−(4x²−5x+7))((5x²+14x+2)+(4x²−5x+7))</p><p>=(5x²+14x+2−4x²+5x−7)(5x²+14x+2+4x²−5x+7)</p><p>=(x²+19x−5)(9x²+9x+9)</p><p>=(x²+19x−5)9(x²+x+1)</p><p>Now dividing by x²+x+1</p><p></p><p>$

$</p><p> \frac{x2+x+1}{(x2+19x−5)9(x2+x+1)} </p><p></p><p>$

$Quotient=9(x2+19x−5)andReminder=0</p><p></p><p> \)$