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Find the remainder (without division) when 8x2+5x + 1 is divisible by x – 10 |
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Answer» Given : 8x² +5x + 1 is DIVIDED by x - 10 To Find : Remainder Solution: Using remainder theorem : if polynomial p(x) is divided by x - m then remainder is p(m) and if p(m) = 0 then (x - m) is a factor p(x) = 8x² +5x + 1 divided by x - 10 Hence m = 10 so remainder =p(10) p(10) =8(10)² +5(10) + 1 = 851 Verification by division 8x + 85 x - 10 _| 8x² +5x + 1 |_ 8x² - 80x _______ 85x + 1 85x - 850 __________ 851
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