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What is the product of \((2x^2 + 3x - 1)\) and \((3x + 5)\)?

A. \(6x^3 + 19x^2 + 12x - 5\)
B. \(6x^3 + 9x^2 + 3x - 5\)
C. \(6x^3 + 10x^2 - 15x - 5\)
D. \(6x^3 - 19x^2 + 12x + 5\)

Answer :

Final answer:

To find the product of two binomials, we multiply each term in the first binomial by each term in the second binomial using the distributive property.


Explanation:

To find the product of two binomials, we can use the distributive property. In this case, we multiply each term in the first binomial by each term in the second binomial:

(2x² + 3x - 1) * (3x + 5) = 2x² * 3x + 2x² * 5 + 3x * 3x + 3x * 5 - 1 * 3x - 1 * 5

Simplifying the expression gives us: 6x³ + 10x² + 9x² + 15x - 3x - 5

Combining like terms, the final product is: 6x³ + 19x² + 12x - 5


Learn more about Multiplying binomials here:

https://brainly.com/question/34215382


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