12-x(2-x)(4+x^(2))
Reorder the polynomial 4+x^(2) alphabetically from left to right, starting with the highest order term.
12-x(-x+2)(x^(2)+4)
Multiply each term in the first group by each term in the second group using the FOIL method
12-x(-x*x^(2)-x*4+2*x^(2)+2*4)
Simplify the FOIL expression by multiplying and combining all like terms.
12-x(-x^(3)+2x^(2)-4x+8)
Multiply -x by each term inside the parentheses.
12+(x^(4)-2x^(3)+4x^(2)-8x)
Reorder the polynomial 12+x^(4)-2x^(3)+4x^(2)-8x alphabetically from left to right, starting with the highest order term.
x^(4)-2x^(3)+4x^(2)-8x+12