Question

If p(x) is divided by (x -1), the remainder is 2. If the same polynomial is divided by (x – 2), the remainder is -1. Find the remainder if p(x) is divided by x2 – 3x + 2

Answer 1

Answer:

uvouvohovyovyovyivyviyivyvoyovuvouovuovuov

Step-by-step explanation:

yvovyoyvooyvyvoyovovyyov

Answer 2

Step-by-step explanation:

Correct option is

B

−x+3

when p(x) is divided by x

2

−3x+2 then remainder should be of the form ax+b as degree of remainder should be less than the divisor

according to the given in the question, p(1)=2 and p(2)=1

p(x)=(x

2

−3x+2)h(x)+ax+b

p(1)=a+b=2 and p(2)=2a+b=1

using these two equations,a=−1 & b=3

hence remainder=−x+3