30 Points PLEASE HELP!!! ASAP

Mathematics

1 answer:

kenny6666 [7]3 years ago

7 0

The length of the blue rectangle is three, its width is two, and its area is six. In comparison, the green ratio has length six, width four, and area twenty-four.

So, the ratios of the lengths and widths are both 1/2, as 3/6=2/4=1/2. The ratio of the areas is 6/24=1/4. This makes sense, as since area is length times width, the ratio of the areas should be the product of the other two ratios.

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What’s the remainder for this synthetic division problem?

Vesna [10]

3 | 1 5 -8 6

. | 3 24 48

- - - - - - - - - - - - - - - -

. | 1 8 16 54

That is to say,

$\dfrac{x^3+5x^2-8x+6}{x-3}=x^2+8x+16+\dfrac{54}{x-3}$

The remainder is 54.

Another way of doing it is to apply the polynomial remainder theorem, which says the remainder upon dividing a polynomial $p(x)$ by $x-c$ is exactly $p(c)$ . So recognizing that the listed coefficients refer to