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If f(x)= (2x +5)and g(x) = (2x2−5x+3), find f(x) · g(x) (please help)

A. 4x3 − 31x + 154x3 − 31x + 15

B.4x3 − 20x2 +19x + 154x3 − 20x2 +19x + 15

C.4x3 − 19x + 154x3 − 19x + 15

D.4x3 + 20x2 − 19x +15

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MathTutors

Answer: 4x³-19x+15

Step-by-step explanation:

We are given f(x) and g(x). Since we need to find f(x)·g(x), we multiply f(x) and g(x).

[tex](2x+5)(2x^2-5x+3)[/tex]                               [distribute by FOIL]

[tex]4x^3-10x^2+6x+10x^2-25x+15[/tex]           [combine like terms]

[tex]4x^3-19x+15[/tex]

Now we know [tex]4x^3-19x+15[/tex] is the correct answer.

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