What should be added to xxx 5 7 3 3 2 + ++ so that it is completely divisible by x x2 2 + ?
Answers
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-(x + 3) should be added to x³ + 5x² + 7x + 3 show that it is completely divisible by x² + 2x
Step-by-step explanation:
Correct Question :
What should be added to x³ + 5x² + 7x + 3 show that it is completely divisible by x² + 2x
x + 3
x² + 2x = _| x³ + 5x² + 7x + 3 |_
x³ + 2x²
_______
3x² + 7x + 3
3x² + 6x
_______
x + 3
______
-(x + 3) should be added
x³ + 5x² + 7x + 3 -(x + 3)
= x³ + 5x² + 6x
= (x² + 2x)(x + 3)
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