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One of the factors of the expression 3p⁵- 12p³ is: a) 3p²
b) p²
c) p
d) 3p

User Symbolic
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Final answer:

The factor of the expression 3p^5 - 12p^3 is 3p, which can be factored out of each term, resulting in the expression 3p^3(p^2 - 4). Option number d is correct.

Step-by-step explanation:

The question asks to identify one of the factors of the expression 3p5 - 12p3. To find a common factor, we can look for something that each term in the expression shares.

We can factor out a 3p3 from each term, resulting in 3p3(p2 - 4). This simplifies to 3p3 times (p + 2)(p - 2) based on the difference of squares. Therefore, the correct factor from the provided options is (d) 3p.

User Prosper
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