Help with this math question please?

It's been a while but I think these are right:

6m^3 + 54m^2 - 6m

Factored: 6m (m^2 + 9m - 1)

(^^ there's no further factoring possible. It is a -1 so there is no difference of squares either)

5k^4 + 8k^3 - 4k^2

(5k^4 + 10k^3)(- 2k^3 - 4k^2)

5k^3 (k + 2) - 2k^2 (k+2)

(5k^3 - 2k^2) (k + 2)

Factored: k^2 (5k - 2) (k + 2)

Hope this helped

Assuming that they are both equal to zero, you need to first simply the equations then set each part equal to zero and solve for the variable.

6m(m^2+9m-1)=0

6m=0

m=0

Use the quadratic equation to get the rest. A=1, B=9, C=-1

k^2(5k^2+8k-4)=0

k^2=0

k=0

Use the quadratic equation to get the rest. A=5, B=8, C=-4

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You've presented two quadratic polynomials, but you haven't said what you want to know about them. What is your question? What do you want done with them?