Algebra 2/24/21

f(x)=4x^3-43x+21 ; (2x-1)

2x^2+x-21 (1/2, 3, -7/2)

f(x)=2x^4-7x^3-23x^2+28x+60 ; (x-5)

2x^3+3x^2-8x-12 (5, -2, 2, -3/2)

(2x^4+7x^3-11x^2+21x+5) / (x+5)

2x^3-3x^2+4x+1 (remember to add placeholders)

24x^3-81=0

x= 3/2, 3-3i root 3/ 4, 3+3i root 3/4

4x^3+5x-16x-20=0

x= 5/4, -2, 2

x^4+13x^2+40=0

x= i root 5, -i root 5, 2i root 2, -2i root 2

x^3+216=0

x=-6, 3+3i root 3, 3-3i root 3

x^3+18x=0

x=0, 3i root 2, -3i root 2

(7x^3-44x^2+10x+45)/ (7x-9)

x^2-5x-5

(x^3-60x+32) / (x+8)

x^2-8x+4

f(x)=x^3-10x-3x+108 ; (x-9)

x^2-x-12 (-3, 9, 4)

(x^4-3x-10) / (x-2)

x^3+2x^2+4x+5