After dividing ( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 ), we get the quotient as 5 x² - 7 x + 4 and the remainder as 11 x - 21.
We are given an expression:
( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 )
We need to perform division of the algebraic expression:
5 x² - 7 x + 4
3 x² + x + 1 √15 x⁴ - 16 x³ + 10 x² + 8 x - 17
15 x⁴ + 5 x³ + 5 x²
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- 21 x³ + 5 x² + 8 x - 17
- 21 x³ - 7 x² - 7 x
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12 x² + 15 x - 17
12 x² + 4 x + 4
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11 x - 21
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Therefore, after dividing ( 15 x⁴ - 16 x³ + 10 x² + 8 x - 17 ) ÷ ( 3 x² + x + 1 ), we get the quotient as 5 x² - 7 x + 4 and the remainder as 11 x - 21.
Learn more about division here:
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