28n^4+16n^3-80n^2
28n4+16n3−80n2=4n2(7n2+4n−20)
I could use the quadrative formula to solve it but I will see if I can figure it out another way.
I need 2 numbers that multiply to 7*-20 and add to give 4
One will need to be positive and the other negative and since 4 is positive, the bigger number will be positive.
7*-20 = -7*2*2*5 = 14* -10 that works, the numbers are 14 and -10
change 4n into 14n-10n
=4n2(7n2+4n−20)=4n2(7n2+14n−10n−20)Now factor in pairs=4n2[7n(n+2)−10(n+2)]=4n2(7n−10)(n+2)