The product of the polynomials, (2p + 7)(3p² + 4p – 3), is: 6p³ + 29p² + 22p - 21.
What is the Product of Polynomials?
Product is the result you get when you multiply two factors together.
Thus:
(2p + 7)(3p² + 4p – 3)
Apply distributive property
2p(3p² + 4p – 3) + 7(3p² + 4p – 3)
6p³ + 8p² - 6p + 21p² + 28p - 21
Combine like terms
6p³ + 29p² + 22p - 21
Therefore, the product of the polynomials, (2p + 7)(3p² + 4p – 3), is: 6p³ + 29p² + 22p - 21.
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