Final answer:
To factor the expression 14p⁷q+35p⁶q⁴+49p⁴q², factor out the common factors in each term: 7p⁴q and 2p³. The factored form is 7p⁴q(2p³+5p²q³+7q).
Step-by-step explanation:
The term "factor" has various meanings depending on the context in which it is used.
To factor the expression 14p⁷q+35p⁶q⁴+49p⁴q², we need to find the common factors in each term. In this case, the common factors are 7p⁴q and 2p³. Factoring out the common factors, we get:
14p⁷q+35p⁶q⁴+49p⁴q² = 7p⁴q(2p³+5p²q³+7q)