x-a is a factor of the polynomial p(x),if p(a)=0.also,if x-a is a factor of p(x), p(a)=0.
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The remainder is not zero so y-3 is not a factor of y^4+2y^2-4
we can use direct substitution. do this we must take the opposite of the constant in the factor that we want to test. -1*(1)=-1 now we simply take f(-1). =-1^3-(-2)^2-8(-1)-5 =-1-4+8-5 =-2 since we got -2 in the end (x+1) is not a factor of this polynomial. According to factor theorem it can only be a factor is the remainder is 0
Norton's theorem is the current equivalent of Thevenin's theorem.
You cannot solve a theorem: you can prove the theorem or you can solve a question based on the remainder theorem.
That is a theorem.A theorem.