A. First move all to the left side of the equation(Normal form)
x^3 - 49x= 0
B. Factor out an x, which is the GCF (Factored form)
x(x^2 - 49) = 0
C. Find solutions by making each x piece equal to 0. The first part is just x=0 and the second part is just factoring the difference of squares and then solving.
x=0, x^2 - 49 =0
x=0, x + 7 = 0, x - 7 = 0
Therefore, the answers for Part C are:
x = 0, x = -7, x = 7
I'm not positive, but wouldn't it be 1 because they are all like terms? When like terms are similar you combine them together do you not?

as you notice, the first term from the binomial, starts off with a highest exponent of 10, and then gradually goes down by 1 on every element.
the second term of the binomial, starts off with an exponent of 0, and goes up by 1 on every element.
now, to get the coefficient
the first coefficient is 1 and the second is the same as the binomial's exponent... those two are simple.... now, to get any subsequent one, we simply "get the product of the current coefficient and the exponent of the first term, and divide it by the exponent of the second term on the next element".
for example... how do we get 10 for the second element, basically 1 * 10/1
that one is simple
now how do we get say, 45 for the 3rd element?
10 * 9 / 2
how do we get 252 for the 6th element?
210 * 6 / 5
and so on, and from there, you can expand each element.
Answer:7 x -6
Step-by-step explanation: 7 x -6= -42
7 + -6= 1
becasue different signs subtract and keep the sign of the bigger number since the 7 is positive and 6 is negative u subtrac and 7 is bigger than 6 so the answer is gonna be positive. Hope this was helpful <3
Hopefully you will be enlighted more than confused