Expand the polynomial `f(x)=x^(2)-3x+2` in powers of x - 1.

Write the remainder when the polynomial f(x)=x^(3)+x^(2)-3x+2 is a divided by x+1

Find the zero of the polynomial f(x)=x^(2)-3x+2 .

Using Division Algorithm prove that the polynomial g(x) = x^(2) + 3x + 1 is a factor of f(x) = 3 x^(4) + 5 x^(3) - 7 x^(2) + 2x + 2

By applying division algorithm prove that the polynomial g(x)=x^(2)+3x+1 is a factor of the polynomial f(x)=3x^(4)+5x^(3)-7x^(2)+2x+2

By applying division algorithm prove that the polynomial g(x)=x^(2)+3x+1 is a factor of the polynomial f(x)=3x^(4)+5x^(3)-7x^(2)+2x+2

Check whether the polynomial f(x)=x^(2)-3 is a factor of the polynomial g(x) where g(x)=2x^(4)+3x^(3)-2x^(2)-9x-12 .

Expand the polynomial P(x) =x^(5) -2x^(4)+x^(3)-x^(2)+2x-1 in powers of the binomial x - 1 using Taylor formula .

Write the remainder when the polynomial f(x)=x^3+x^2-3x+2 is a divided by x+1

If alpha, beta are the zeros of the polynomial f(x) = x^2 – 3x + 2 , then find 1/alpha + 1/beta .

If x=0 and x=-1 are the roots of the polynomial f(x)=2x^3-3x^2+a x+b , find the value of a and b .