Question

If $$(x^2 - 7x + a)$$ leaves a remainder 1 when divided by $$(x + 1)$$, then the value of $$a$$ is ______.

पर्याय

• 1

• –1

• –7

• –5

Answer 1

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.