College

Find the product of \((3x^2 + x - 1)\) and \((4x + 5)\).

A. \(3x^2 + 5x + 4\)

B. \(12x^3 + 4x^2 - 4x\)

C. \(12x^3 + 19x^2 + x - 5\)

D. \(12x^3 + 19x^2 + 9x - 5\)

Answer :

Answer:

12x^3 + 19x^2 +x - 5

Step-by-step explanation:

(3x^2 + x - 1 ) (4x + 5)

12x^3 + 15x^2 + 4x^2 + 5x - 4x - 5 use the Distributive

Property* to multiply

each term by each other

term.

12x^3 + 19x^2 +x - 5 simply

*Distribute the first number to 4x, and then by 5. Then distribute x to 4x and 5, and distribute -1 to 4x and 5. By distribute I mean multiply.

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