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IgorC [24]
3 years ago
9

Write three factors if algebraic term 5k

Mathematics
2 answers:
loris [4]3 years ago
7 0
Factors are those numbers that can fully divide a number; so, for example, 3, 2 and 6 are the factors of 6 since they completely divide the number 6.

By the same way, the factors of 5k will be 5, k and 5k.


ExtremeBDS [4]3 years ago
5 0
5, k, 5k................
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Consider the function G(x) = -2x^3 - 15x^2 + 36x. First, factor it:

G(x) = -2x^3 - 15x^2 + 36x=-x(2x^2+15x-36)=\\ \\=-x\cdot 2\cdot \left(x-\dfrac{-15-\sqrt{513}}{4}\right)\cdot \left(x-\dfrac{-15+\sqrt{513}}{4}\right).

The x-intercepts are at points \left(\dfrac{-15-\sqrt{513} }{4},0\right),\ (0,0),\ \left(\dfrac{-15+\sqrt{513} }{4},0\right).

1. From the attached graph you can see that

  • function is positive for x\in \left(-\infrty, \dfrac{-15-\sqrt{513} }{4}\right)\cup \left(0,\dfrac{-15+\sqrt{513} }{4}\right);
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2. Since

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3. The domain is x\in (-\infty,\infty), the range is y\in (-\infty,\infty).

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attached below is the complete solution

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