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adell [148]
3 years ago
8

5. Show 3 different ways on how you can multiply two polynomials to get 30x^3.

Mathematics
1 answer:
Mrrafil [7]3 years ago
7 0
10x(3x^2)
15x^2(2x)
5x(6x^2)
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If 4f(x)+f(5-x)=x2<br><br> What is f(x)?
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We are given that 4f(x)+f(5-x)=x^2.

Substitute x with 5-x, then the above equation becomes:

4f(5-x)+f(5-(5-x))=(5-x)^2, that is

4f(5-x)+f(x)=(5-x)^2


So, we have the following system of equations:

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i) -16f(x)-4f(5-x)=-4x^2
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adding the 2 equations side by side we have:

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expanding the binomial, and collecting same terms we have:

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dividing by 3:

\displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}


Answer: \displaystyle{f(x)= \frac{1}{5}x^2+ \frac{2}{3}x-\frac{5}{3}

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