One of the factors of 3p5 − 12p3 is a. p4 b. p+2 c. p2+4 d. 4
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.
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.