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2 years ago

6

Using synthetic division, find the quotient Q(x) and the remainder R if the polynomial P(x) = x3 − 2x2 − 5x + 6 is divided by (x

− 1).
I will mark brainliest if correct

1 answer:

VLD [36.1K]2 years ago

4 0

Answer:

Step-by-step explanation:

1_| 1 -2 -5 6

<u> 1 -1 -6</u>

1 -1 -6 0

Q(x)= x^2 - x - 6

R: 0

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2 years ago

The perimeter of a parallelogram is 180 cm. One side exceeds the other by 10 cm. What are the lengths of adjacent sides of the p

Georgia [21]

Answer:

one side is 40 other is 50

Step-by-step explanation:

perimeter=180cm

let one side=length=x

Acc. to condition:

other side=width=x+10 (one side exceed other by 10)

perimeter= 2(length+width)

subtitue all values given above:

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8 0

2 years ago

A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following

kiruha [24]

Answer:

<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

$1,2,4,8,16,32,.....$

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

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where,

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As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

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$\Rightarrow 90\times 10^{12}\le 2^n-1$

$\Rightarrow 2^n\ge 90\times 10^{12}+1$

$\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)$

$\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)$

$\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}$

$\Rightarrow n \ge 46.4$

$\Rightarrow n\approx 47$

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2 years ago

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spayn [35]

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