A polynomial f and a factor f are given. Solve f(x)=x5-4x3+x2-4;(x2-x+1) using long division

Perform the division (2x5 −5x4 +2x3 −6x2 +7x−11) : (x2 −2x+3)

Find the zeros P(x)= 5x3-5x2-10

If x 4 is a root of x² + 5x²- 16x- 80=0, use synthetic division to factor the polynomial completely and list all real solutions of the equation. ○ (x + 5)(x - 5)(x− 4); x = −5, 5, 4 ○ (x+ 5)²(x + 4); x = −5, −4 ○ (x+5)(x+4)²; x = -5,-4 ○ (x - 5)(x+4)(x− 4); x = 5, −4, 4 ○ (x+5)(x+4)(x− 4); x = −5, −4, 4