Question

Factor each polynomial. Look for a GCF first

(i don’t know how to get the GCF and the circled numbers are what ones i have to do)

Answer 1

20.
`x\left(x-6\right)\left(x+8\right)`

22.
`2\left(x+1\right)\left(x+4\right)`

24.
`5m\left(m-1\right)\left(m+7\right)`

Explanation:

20.
`x^3+2x^(2) -48x`

The GCF is x, so you group it out of the equation first.

`x(x^(2) +2x-48)`

Then, you find 2 numbers that will equal to 2 when you add them and will equal to -48 when you multiply them.

`?+?=2\\?*?=-48`

The two numbers would be -6 and 8. You then differentiate the squares.

`x\left(x-6\right)\left(x+8\right)`

22.
`2x^(2) +10x+8`

The GCF is 2, so you must group it out.

`2(x^(2) +5x+4)`

Find the two numbers that will equal to 5 when you add them and will equal to 4 when you multiply them.

`?+?=5\\?*?=4`

The two numbers would be 1 and 4. Finally, differentiate the squares.

`2\left(x+1\right)\left(x+4\right)`

24.
`5m^(3) +30m^2-35m`

The GCF is 5m, so you must group it out.

`5m(m^2+6m-7)`

Find the two numbers that will equal to 6 when you add them and will equal to -7 when you multiply them.

`?+?=6\\?*?=-7`

The two numbers would be -1 and 7. Finally, differentiate the squares.

`5m\left(m-1\right)\left(m+7\right)`