Question

One of the factors of 3p5 − 12p3 is a. p*4 b. p+2 c. p*2+4 d. 4

Answer 1

answer : p+2

To answer the question above, identify first the greatest common factor for the numerical coefficients. That is 3. Next, determine the GCF for the variables p^5 and p³. Thus, factoring the given leads to,

3p³ x (p² - 4)

The second factor is a difference of two squares. Further simplification of the expression leads to,

3p³ x (p + 2) x (p - 2)

Thus, the answer is p + 2.

Answer 2

So,


`3p^5 - 12p^3`

Factor.

`(3p^3)(p^2 - 4)`

`(3p^3)(p+2)(p-2)`

p + 2 is a factor.

The correct option is B.