Factorize 12-x(2-x)(4+x^2)

Question

This question is from fiitjee math book of class 8.

Comments

Factorize 12-x(2-x)(4+x^2) .


your expression won't factorise.

Answer 1

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