functions!!

Suppose p(x) is a polynomial with integer coefficients. The reminder when p(x) is divided by x-1 is 1 and the remainder when p(x) divided by x-4 is 10. If r(s) is the remainder when p(x) is divided by (x-1)(x-4), find the value of r(2006).

3 Answers

62
Lokesh Verma ·

Hint: P(x)=g(x)(x-1)+1

p(x)=h(x)(x-4)+10

p(x)=(x-1)(x-4)J(x)+ax+b

Where ax+b=r(s)

Now try?

1
Surbhi Agrawal ·

thanx sir i got it!!

1
Hodge Conjecture ·

is the ans. 6016?

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