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Factor the polynomial 8x^3-6x^2-12x+9β
4 months ago
Q:
factor the polynomial 8x^3-6x^2-12x+9β
Accepted Solution
A:
Β Β Β Β β£ Assignment: [tex]\bold{Factor \ Equation: \ 8x^3-6x^2-12x+9}[/tex]ββββββββ Β Β Β Β β£ Answer: [tex]\boxed{\bold{\left(4x-3\right)\left(2x^2-3\right)}}[/tex]ββββββββExplanation: βββββββββββββ Β Β Β Β β€ [ Step One ] Factor Out -3 From [tex]\bold{-12x+9}[/tex][tex]\bold{-3\left(4x-3\right)}[/tex] Β Β Β Β β€ [ Step Two ] Factor Out [tex]\bold{2x^2}[/tex] From [tex]\bold{8x^3-6x^2}[/tex][tex]\bold{2x^2\left(4x-3\right)}[/tex] Β Β Β Β β€ [ Step Three ] Rewrite Equation[tex]\bold{-3\left(4x-3\right)+2x^2\left(4x-3\right)}[/tex] Β Β Β Β β€ [ Step Four ] Factor Out Common Term [tex]\bold{4x-3}[/tex][tex]\bold{\left(4x-3\right)\left(2x^2-3\right)}[/tex]ββββββββ[tex]\bold{\rightarrow Mordancy \leftarrow}[/tex]