can anyone solve this question with statement
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4
Answer :
Option (1) : (-5)
Solution :
• Given : (x-1)(x³+x²-2x) = x⁴+ax³+bx²+cx
• To find : a + b - c = ?
We have ,
=> (x - 1)(x³ + x² - 2x) = x⁴ + ax³ + bx² + cx
=> x⁴ + x³ - 2x² - x³ - x² + 2x = x⁴ + ax³ + bx² + cx
=> x⁴ - 3x² + 2x = x⁴ + ax³ + bx² + cx
=> x⁴ + 0x³ + (-3)x² + 2x = x⁴ + ax³ + bx² + cx
Now ,
Comparing the coefficients of x³ , x² , x both the sides , we get ;
a = 0
b = -3
c = 2
Now ,
=> a + b - c = 0 + (-3) - 2
=> a + b - c = -3 - 2
=> a + b - c = -5
Hence ,
a + b - c = -5
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1
Answer:
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