Math, asked by KavinKaushal, 16 days ago

On dividing x³ + 4 x² + 3 X + 2 by g(x),the quotient and remainder were x² - 2 and 5 x + 10 respectively.

find g(x) (Maths Class X)​

Answers

Answered by miteshpatel0042
0

Step-by-step explanation:

p(x) = g(x) \times q(x) + r(x)

 {x}^{3}  +  {4x}^{2}   + 3x + 2 = g(x) \times ( {x}^{2}  - 2) + (5x + 10)

 {x}^{3}  +  {4x}^{2}  + 3x + 2 - (5x + 10) = g(x) \times ( {x}^{2}  - 2)

 {x}^{3}  +  {4x}^{2}  - 2x - 8 = g(x) \times ( {x}^{2}  - 2)

 \frac{ {x}^{3} +  {4x}^{2} - 2x - 8  }{ {x}^{2} - 2 }  = g(x)

x + 4 = g(x)

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