Find the LCM:

Question

z^4-14z^3+49z^2,3z^2-147 and 5z+35

Answer 1

z^4-14z^3+49z^2
= z^2(z^2 - 14z+ 49)
= x^2(z-7)^2

3z^2-147
= 3(z^2 - 49)
= 3(z+7)(z-7)

5z + 35
= 5(z+7)

LCM = 15z^2(z+7)(z-7)^2