Question

F(x) is a polynomial of degree 3 which when divided by x^2-1 and x^2-4 gives remainder 2x-5 and -3x+5. find the polynomial​

Answer 1

Step-by-step explanation:

According to Remainder theorem

f(x)=(x−1)(x−2)θ(x)+γ(x)

γ(x)=ax+b

f(1)=a+b=2 …(1)

f(2)=2a+b=3 …(2)

Subtract (1) from (2)

2a+b−a−b=3−2

⇒a=1 substitute in (1)

b=2−1=1

∴ a=b=1

So, γ(x)=x+1

Answer 2

Answer:

p(x)= -5/3 x^3 + 10/3 x^2 + 11/3 x -25/3

Please mark it as brainliest.