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3 years ago

Find the remainder when the polynomial $x^5 x^4 x^3 x^2 x$ is divided by $x^3-4x$.

Mathematics

1 answer:

Phantasy [73]3 years ago

5 0

Answer:

Remainder would be $5x^2+21$

Step-by-step explanation:

Given,

Dividend = $x^5+x^4+x^3+x^2+x$

Divisor = $x^3-4x$

Using long division ( shown below ),

We get,

$\frac{x^5+x^4+x^3+x^2+x}{x^3-4x}=x^2+x+5+\frac{5x^2+21}{x^3-4x}$

Therefore,

Remainder would be $5x^2+21$

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URGENT I HAVE ALMOST 0 TIME LEFT I NEED LAST MINUTE HELP

jonny [76]

Answer:

The zeros are the points where the parabola intercepts the x-axis.

$\sf x = 7 \implies x - 7 = 0$

$\sf x = 1 \implies x - 1 = 0$

$\sf \implies y = a(x - 7)(x - 1)$ where a is some constant

If the parabola passes through point (3, 4) then:

$\sf \implies a(3 - 7)(3 - 1) = 4$

$\sf \implies a(-4)(2) = 4$

$\sf \implies -8a = 4$

$\sf \implies a = -\dfrac12$

So the equation of the parabola is:

$\sf y = -\dfrac12(x - 7)(x - 1)$

Or in standard form:

$\sf y = -\dfrac12x^2+4x-\dfrac72$

7 0

1 year ago

Brian wants to ship three medium sized boxes. Two companies offer different rates.

lions [1.4K]

Answer:

Step 4

Step-by-step explanation:

Bryan wants to ship three medium-sized boxes. Two companies offer different rates.

Company Rate

$14.65 per box

First box is free, $16.20 for any additional boxes

Bryan used the six steps to solve this problem. On one of the steps, he decided that he would use multiplication and addition to compare the companies and find the best rate. Which step did Bryan use to help him decide?

8 0

2 years ago

How do I find the area of a trapezoid?

konstantin123 [22]

Answer:

Step-by-step explanation:

Area of a trapezoid is found with the formula, A=(a+b)/2 x h. Learn how to use the formula to find area of trapezoids.

The two parallel sides are the bases, and height, as always, is the perpendicular distance from one base to the opposite. The area of this parallelogram is its height (half-height of the trapezoid) times its base (sum of the bases of the trapezoid), so its area is half-height × (base1 + base2).

3 0

2 years ago

bernite is selling candy bars for a school fundraiser. the school paid $20 for a box of 15 king size candy bars and bernite sell

NikAS [45]

The school originally used $20 for the purchase of the candy.
Use the formula Y=2x to find how much money is made (y) from the number of candy bars (x)
Sub in the 15 bars for t
Y=2(15)
Y=30
Therefore the school made $10, because they earned an extra $10 in comparison to the amount they bought the candy bars for, which was $20.
Hope this helps!

6 0

3 years ago

Find the image of (3,8) after<br> a reflection over the origin.

Oksana_A [137]

Answer:

(-3, -8) I think

Step-by-step explanation

over the origin mean it would be going diagonally across (0,0). Not directly down (over the x-axis/ across the y-axis), nor to the side (over y-axis/ across the x-axis

3 0

2 years ago