p(X) =x²-7x-5 when divided by x-3,find the remainder using remainder theoram
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Let p(x) = x² - 7x - 5
& g(x) = x - 3
Then, g(x) = 0
→ x - 3 = 0
→ x = 0 + 3
→ x = 3 = α (say)
Now, by remainder theorem we know that when p(x) is divided by g(x) then the remainder is p(α).
So, p(α)→ 3² - 7 × 3 - 5
→ 9 - 21 - 5
→ 9 - 26
→ -17
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