f(x)=x^3-7x^2+6x
The zeros of the function
x^3-7x^2+6x = 0
x(x^2 -7x +6) = 0
x(x - 6)(x - 1) = 0
x = 0
x - 6 = 0; x = 6
x - 1 = 0; x = 1
Answer
x = 0, 1 , 6
![g(p) \cdot h(p) = p^{4}+2 p^{3}-8 p^{2}-2p+4](https://tex.z-dn.net/?f=g%28p%29%20%5Ccdot%20h%28p%29%20%3D%20p%5E%7B4%7D%2B2%20p%5E%7B3%7D-8%20p%5E%7B2%7D-2p%2B4)
Solution:
Given data:
and ![h(p)=\left(p^{3}+4 p^{2}-2\right)](https://tex.z-dn.net/?f=h%28p%29%3D%5Cleft%28p%5E%7B3%7D%2B4%20p%5E%7B2%7D-2%5Cright%29)
To find
:
![g(p) \cdot h(p)= (p-2)\cdot \left(p^{3}+4 p^{2}-2\right)](https://tex.z-dn.net/?f=g%28p%29%20%5Ccdot%20h%28p%29%3D%20%28p-2%29%5Ccdot%20%5Cleft%28p%5E%7B3%7D%2B4%20p%5E%7B2%7D-2%5Cright%29)
Distributive property: ![a(b+c)=ab + ac](https://tex.z-dn.net/?f=a%28b%2Bc%29%3Dab%20%2B%20ac)
![= p\left(p^{3}+4 p^{2}-2\right) -2\left(p^{3}+4 p^{2}-2\right)](https://tex.z-dn.net/?f=%3D%20p%5Cleft%28p%5E%7B3%7D%2B4%20p%5E%7B2%7D-2%5Cright%29%20-2%5Cleft%28p%5E%7B3%7D%2B4%20p%5E%7B2%7D-2%5Cright%29)
![= \left(p^{4}+4 p^{3}-2p\right) +\left(-2p^{3}-8 p^{2}+4\right)](https://tex.z-dn.net/?f=%3D%20%5Cleft%28p%5E%7B4%7D%2B4%20p%5E%7B3%7D-2p%5Cright%29%20%2B%5Cleft%28-2p%5E%7B3%7D-8%20p%5E%7B2%7D%2B4%5Cright%29)
![= p^{4}+4 p^{3}-2p-2p^{3}-8 p^{2}+4](https://tex.z-dn.net/?f=%3D%20p%5E%7B4%7D%2B4%20p%5E%7B3%7D-2p-2p%5E%7B3%7D-8%20p%5E%7B2%7D%2B4)
Arrange and add/subtract same powers.
![= p^{4}+(4 p^{3}-2p^{3})-8 p^{2}-2p+4](https://tex.z-dn.net/?f=%3D%20p%5E%7B4%7D%2B%284%20p%5E%7B3%7D-2p%5E%7B3%7D%29-8%20p%5E%7B2%7D-2p%2B4)
![= p^{4}+2 p^{3}-8 p^{2}-2p+4](https://tex.z-dn.net/?f=%3D%20p%5E%7B4%7D%2B2%20p%5E%7B3%7D-8%20p%5E%7B2%7D-2p%2B4)
Hence ![g(p) \cdot h(p) = p^{4}+2 p^{3}-8 p^{2}-2p+4](https://tex.z-dn.net/?f=g%28p%29%20%5Ccdot%20h%28p%29%20%3D%20p%5E%7B4%7D%2B2%20p%5E%7B3%7D-8%20p%5E%7B2%7D-2p%2B4)
Answer:
4+4 9-3
Step-by-step explanation:
Answer:
there's no cylinder
Step-by-step explanation:
If you can edit the question and put it I'll help you
Answer: The idea of asymptote applied in real life situations are often used used in designing. Like for example in designing airplanes an asymptote for speed of an airplane use to be the speed of sound.
Step-by-step explanation: