Question

factor each of the following by factoring out the GCF
`2x {}^(7) - 10x {}^(5) + 20x {}^(4)`
`6x {}^(8) + 12x {}^(10)`
`32x {}^(7) + 24x {}^(4) - 8x {}^(3)`MORE NOTES FOR QUESTION 2
`6y - 24 \\ answer = (y - 4)`
`3a + 12 \\ anwser = 3(a + 4)`

Answer 1

`4x^3-12x^2+8x=4x\cdot x^2-4x\cdot3x+4x\cdot2=4x(x^2-3x+2)`

For the second one

`50y^6-25y^7=25y^6\cdot2-25y^6\cdot y=25y^6(2-y)`

for the third one

`32x^7+24x^5-8x^3=8x^3\cdot4x^4-8x^3\cdot3x^2-8x^3\cdot1=8x^3(4x^4+3x^2-1)`

The greatest common factor for the first one is 4x

for the second one is 25y^6

and for the third one is 8x^3