26) If the quotient obtained on dividing (8x⁴ - 2x ²+ 6x + 5)by (2x+1) is
(4x³ + px²- qx+3), then find p and q.
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Step-by-step explanation:
4x³ - 2x² + 3
2x + 1 | 8x⁴ + 0x³ - 2x² + 6x + 5
8x⁴ + 4x³
-4x³ - 2x² + 6x - 5
-4x³ - 2x²
6x - 5
6x + 3
- 8
4x³ - 2x² + 0x + 3 = 4x³ + px² - qx + 3
Comparing coefficients of x²,
p = -2
Comparing coefficients of x,
q = 0
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