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shutvik [7]
1 year ago
8

What is the remainder of the quantity 5 x cubed plus 7 x plus 5 end quantity divided by the quantity x plus 2 end quantity? Show

all necessary steps.
Mathematics
1 answer:
jarptica [38.1K]1 year ago
4 0

The remainder of the polynomial equation is -49

<h3>What is a remainder of a polynomial equation?</h3>

The remainder of a quantity in an algebraic expression of a polynomial equation is the remaining amount of the quantity left and can not be divisible by the divisor.

From the given information, we are to find the remainder of the given algebraic equation:

\mathbf{= \dfrac{5x^3+7x+5}{x+2} }

Using the long division method, we have:

\mathbf{= \dfrac{5x^3+7x+5}{x+2} } \implies \mathbf{5x^2 + \dfrac{-10x^2+7x+5}{x+2}}

Divide by \mathbf{ \dfrac{-10x^2+7x+5}{x+2}}, we have:

\mathbf{= 5x^2- 10x+ \dfrac{27x+5}{x+2}}

Divide by \mathbf{\dfrac{27x+5}{x+2}}, we have:

\mathbf{= 5x^2- 10x+ 27 +\dfrac{-49}{x+2}}

Learn more about finding the remainder of a polynomial equation here:

brainly.com/question/24978997

#SPJ1

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Answer: A

Step-by-step explanation:

3 0
2 years ago
What is the equation of the line passing through the points (–25, 50) and (25, 50) in slope-intercept form?
allochka39001 [22]

The equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is <u>y = 50</u>. Hence, <u>4th option</u> is the right choice.

The slope-intercept form of a line is written as y = mx + b, where m is the slope of the line, and b is the y-intercept.

The slope of a line passing through the points (x₁, y₁) and (x₂, y₂) can be calculated using the formula, slope (m) = (y₂ - y₁)/(x₂ - x₁).

Therefore, slope of the line passing through the points (-25, 50) and (25, 50) can be calculated as m = (50 - 50)/(25 - (-25)) = 0/(-50) = 0.

We can find the equation of the line using the point-slope formula, according to which, a line having a slope m and passing through the point (x₁, y₁) can be written as y - y₁ = m(x - x₁).

Therefore, the equation of the given line can be written as:

y - 50 = 0(x - 25)

or, y - 50 = 0,

or, y = 50.

Therefore, the equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is <u>y = 50</u>. Hence, <u>4th option</u> is the right choice.

Learn more about the equation of a line at

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3 0
2 years ago
Find the length of EG:<br> G<br> C<br> E<br> B.
Lerok [7]

Answer:

16

Step-by-step explanation:

6 0
3 years ago
2m+n=7<br> 4m+3n=-10<br> Solve using substitution method
jeka57 [31]

Answer:

m=31/2, n=-24. (31/2, -24).

Step-by-step explanation:

2m+n=7

4m+3n=-10

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

n=7-2m

4m+3(7-2m)=-10

4m+21-6m=-10

-2m=-10-21

-2m=-31

2m=31

m=31/2

2(31/2)+n=7

31+n=7

n=7-31

n=-24

5 0
3 years ago
What is the constant of variation for y=1/6x?
timurjin [86]
The equation for Direct Variation is y =kx, where k is the constant, so the constant being multiplied by x is (1/6). This means that k = (1/6).
6 0
3 years ago
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