Choose one of the factors of x3 + 343

If we observe closely the given, we can note that the terms given are perfect cubes. That is,

            x^3 is cube of x     and

            343 is cube of 7

Hence, the expression is the sum of two cubes. For the sum of cubes, we follow the following rule for the factoring:

                            a^3 + b^3 = (a + b)(a^2 – ab + b^2)

Applying the rule to the given, the factors would be:

                            X^3 + 373 = (x + 7)(x^2 – 7x + 49)

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

go and ask your mom to you