Q:

factor the polynomial 8x^3-6x^2-12x+9​

Accepted Solution

A:
Β  Β  Β   ➣ Assignment: [tex]\bold{Factor \ Equation: \ 8x^3-6x^2-12x+9}[/tex]↔↔↔↔↔↔↔↔ Β  Β  Β   ➣ Answer: [tex]\boxed{\bold{\left(4x-3\right)\left(2x^2-3\right)}}[/tex]↔↔↔↔↔↔↔↔Explanation: ↓↓↓↓↓↔↔↔↔↔↔↔↔ Β  Β  Β   ➀ [ Step One ] Factor Out -3 From [tex]\bold{-12x+9}[/tex][tex]\bold{-3\left(4x-3\right)}[/tex] Β  Β  Β   ➀ [ 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   ➀ [ Step Three ] Rewrite Equation[tex]\bold{-3\left(4x-3\right)+2x^2\left(4x-3\right)}[/tex] Β  Β  Β   ➀ [ Step Four ] Factor Out Common Term [tex]\bold{4x-3}[/tex][tex]\bold{\left(4x-3\right)\left(2x^2-3\right)}[/tex]↔↔↔↔↔↔↔↔[tex]\bold{\rightarrow Mordancy \leftarrow}[/tex]