P(x)= P has degree 3 and zeros 5 and i.

1 answer:

8 0

Keeping in mind that complex solutions never come all by their lonesome, they always come with their sister

thus, "i" is not there all by herself, her sister is there too, namely the conjugate

so
i = 0+i and thus its conjugate sister will be 0-i

thus $\bf \begin{cases}
x=5\to &x-5=0\\
x=0+i\implies x=i\to &x-i=0\\
x=0-i\implies x=-i\to &x+i=0
\end{cases}
\\\\\\
(x-5)(x-i)(x+i)=\textit{original polynomial}$

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Correct Question : Tom has a scale model of his car. The scale factor is 1 : 12. If the actual car has 16-inch wheels, what size are the wheels on the scale model?

We have , The scale factor is 1 : 12. We need to find If the actual car has 16-inch wheels, what size are the wheels on the scale model .Let's find out:

Ratio of size of wheels to actual size of wheels is 1:12 , but actual car has 16-inch wheels So ,

⇒ $\frac{1}{12} = \frac{x}{16}$ { x is size of wheel in scale model }