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lorasvet [3.4K]
3 years ago
12

Can anyone help?....

Mathematics
2 answers:
stepan [7]3 years ago
8 0
<span>The answer two this question is C.

You can get this answer by multiplying the two polynomials and then simplifying. See the steps below:
(4x^2 - 5)(x + 3) ---> Now multiply the two parenthesis. 
4x^3 - 5x + 12x^2 - 15 ---> Arrange the numbers by decreasing  exponents. 
4x^3 + 12x^2 - 5x - 15

No simplifying can be done since there are no like terms. </span>
Vlad1618 [11]3 years ago
7 0

Answer: fg(x)=4x^3+12x^2-5x-15

Step-by-step explanation:

Given: f(x)=4x^2-5\text{ and } g(x)=x+3

We know that for any function f(x) and g(x), the multiplication function (fg) (x) is given by :-

fg(x)=f(x)g(x)

Now, for the given functions, we have

fg(x)=(4x^2-5)(x+3)\\\\\Rightarrow\ fg(x)=4x^2(x+3)-5(x+3)\\\\\Rightarrow\ fg(x)=4x^3+12x^2-5x-15

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Hey. Let me help you on this one.

In order for us to solve this problem easier, let's break it apart. We can also graph the triangle so we get visual of this problem.

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