Hi, I am struggling with the following question >.<
I tried, but could not come up with anything. Thank you in advance.a) 8x^3 + 10x^2 -px - 5 is divisible by 2x-1. There is no remainder. Find the value of p.
b) When x^6+x^4-2x^2+k is divided by 1+x^2, the remainder is 5. Find the value of k.
You don't need polynomial division. If is divisible by , then it must have as one of its roots. Plug in into and solve for p. Do you see how this works?
Similarly, if has a remainder of 5 when divided by , then must have all of the roots which has. Plug in OR into and solve for k.