Question

Remove the largest possible common factor. Check your answer by multiplication. 9x^(4)+15x^(3)-12x

Factor out the greatest common factor.

Answer 1

Check 9,15,12 we can see the largest possible common factor is 3
Check x^4 , x^3 , x we can see the largest possible common factor is x
Therefore : the answer is
3x( 3x^3+ 5x^2 - 4)

Answer 2

• 
  `\bold{3x\left(3x^3+5x^2-4\right)}`

Factor the following

`\hookrightarrow \sf 9x^4+15x^3-12x`

rewrite the following

`\hookrightarrow \sf 3\cdot \:3x^3x+3\cdot \:5x^2x-3\cdot \:4x`

factor out the common term 3(x)

`\hookrightarrow \sf 3x\left(3x^3+5x^2-4\right)`

check for answer through multiplication

`\dashrightarrow \sf 3x\left(3x^3+5x^2-4\right)`

`\dashrightarrow \sf 3x\left(3x^3)+3x(5x^2)+3x(-4)`

`\sf \dashrightarrow 9x^4+15x^3-12x`