1is the ans. 6016?
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).
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3 Answers
62Hint: 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?