If the polynomial

Mathematics

1 answer:

erik [133]2 years ago

3 0

Answer:

Step-by-step explanation:

<u>Given polynomial:</u>

x¹⁹ + x¹⁷ + x¹³ + x⁷ + x⁵ + x³

<u>Group as follows:</u>

(x¹⁹ + x¹⁷) + (x¹³ + x¹¹) + (x⁷ + x⁵) + (x³ + x) - x =
x¹⁷(x² + 1) + x¹¹(x² + 1) + x¹⁵(x² + 1) + x(x² + 1) - x

As we see all terms have (x² + 1) as factor apart from the last one.

It means the remainder is - x

Correct choice is C

You might be interested in

37 1/2 % as a decimal

Marysya12 [62]

Answer: 37.5

1/2 in decimal from is 0.50 or 0.5

7 0

2 years ago

Read 2 more answers

Lines k and p are perpendicular, neither is vertical and p passes through the origin. Which is greater? A. The product of the sl

AlladinOne [14]

What do we know about those two lines?

They are perpendicular, meaning they have the same slope.
We know the slope of both is not zero (neither is vertical).
Therefore either
1) Both slopes are positive and therefore the product is positive
2) Both slopes are negative and therefore the product is positive (minus by a minus is a plus)

For the y intercepts, we know that the line P passes through the origin.
Therefore its Y intercept is zero.
[draw it if this is not obvious and ask where does it cross the y axis]
Therefore the Y intercept of line K and line P is zero.
[anything multiplied by a zero is a zero]

So we know that the product of slopes is positive, and we know that the product of Y intercepts is zero.
So the product of slopes must be greater.
Answer A

4 0

2 years ago

PLEASE HELP IM STUCK

SpyIntel [72]

Step-by-step explanation:

$\frac{y2 - y1 }{x2 - x1} = \frac{3 - - 2}{5 - 0} = \frac{5}{5} = 1$