Question

without actual division prove that 2x^4-6x^5 +3x^2 -3x-2 is exactly divisible by x^2 -3x +2​

Answer 1

Step-by-step explanation:

let the given polynomial be p(x) and

x^2-3x+2 be q(x)

x^2-2x-x+2 = x(x-2)-1(x-2)

(x-1)(x-2)

when p(x) is divisible by q(x) then remainder =0

=> p(1)=0, p(2)=0

p(1)=2-6+3-3-2=-6

p(2)=2×2^4 - 6×2^5 +3×2^2-3×2-2 = -160+12-8=-156

p(x) is not divisible by q(x) as they leave remainder

hope this helps

Answer 2

Answer:

I hope you get your answer..