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Question
If $$(x^2 - 7x + a)$$ leaves a remainder 1 when divided by $$(x + 1)$$, then the value of $$a$$ is ______.
Options
1
–1
–7
–5
MCQ
Fill in the Blanks
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Solution
If $$(x^2 - 7x + a)$$ leaves a remainder 1 when divided by $$(x + 1)$$, then the value of $$a$$ is –7.
Explanation:
The remainder is f(–1) = 1 + 7 + a = 8 + a.
Setting 8 + a = 1 gives a = –7.
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