Determine whether `(x-1)` is a factor of the following polynomials `:`
`x^(4) + 5x^(2) - 5x +1`

Determine whether (x-1) is a factor of the following polynomials : x^(3) + 5x^(2) - 10x + 4

Determine whether (x-1) is a factor of the following polynomials: (i) x ^(3) +5x^(2) -10 x +4 (ii) x^(4) +5x^(2) -5x + 1

Use the Factor Theorem to determine whether g (x) is factor of f(x) in each of the following cases: (i) f (x) = 5x ^(3) + x ^(2)-5x -1, g (x)=x +1 (ii) f (x) = x ^(3) + 3x ^(2) + 3x +1 , g(x) =x +1 (iii) f (x) =x ^(3) - 4x ^(2) +x + 6, g (x) =x -2 (iv) f (x) = 3x ^(3) + x^(2) - 20x + 12, g (x) = 3x -2 (v) f (x) = 4x ^(3) + 20 x ^(2) + 33 x +18, g (x) =2x +3

Using factor theorem, show that (x-5) is a factor of the polynomial 2x^(3) - 5x^(2) - 28x + 15

Classify the following polynomials based on their degree. p (x) = 5x^(2) - 3x + 2

Determine which of the following polynomials has (x +1) as a factor. (i) x ^(3) -x ^(2) -x +1 (ii) x ^(4) - x ^(3) + x ^(2) -x +1 (iii) x ^(4) + 2x ^(3) + 2x ^(2) + x +1 (iv) x ^(3) -x ^(2) - (3- sqrt3) x + sqrt3