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2 years ago

Is (x + 2) a factor of x + 6x2 + 3x – 10?

Mathematics

2 answers:

igomit [66]2 years ago

6 0

Answer:

Step-by-step explanation:

6x² + 4x - 10 in factored form is:

2(3x+5)(x-1)

Nezavi [6.7K]2 years ago

3 0

Answer:

Assuming that you actually mean that if $(x+2)$ is a factor of $x^{3}+6x^{2}+3x-10$ , the answer is yes.

Step-by-step explanation:

We need to do long division of the polynomial to figure out if this is true. I would show it here, but it is extremely difficult to do so. (Maybe someone could help me.) When I factor it, it does not leave a remainder, so this is true.

$x^{3}+6x^{2}+3x-10= (x+2)(x^2+4x-5)$

Another way one could figure this out is by graphing the equation $x^{3}+6x^{2}+3x-10$ on your graphing calculator or on just a graphing website, lake Desmos. The screenshot below shows the graph.

The polynomial will have a factor of $(x-c)$ if the point $(0,c)$ exists on the graph. The graph has the following three zeroes.

$(0,-2)$ , $(0, -5)$ , and $(0,1)$

As such, it has the three factors $(x-(-2))$ , $(x-(-5))$ , and $(x-1)$ .

Since $(x-(-2)=(x+2)$ , it is a factor of the polynomial.

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2 years ago

4+2(8²×4²)+6+4+6+6+6+2+2

mash [69]

Answer: =2084

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4 0

3 years ago

Read 2 more answers

Can someone please help me with this question.

rusak2 [61]

25x25+20x25+20x15+15x25=1800 the answer is D.

5 0

3 years ago

There are 20 parrots at the animal sanctuary. Their population is increasing at a rate of 15% per year. There are also 24 snakes

worty [1.4K]

For the answer to the questions above,
A) Parrots are following a Geometric Progression of 15% increase.

20(1.15), 20(1.15)², 20(1.15)³,

Function = 20(1.15)^n Where n is at the end of year, n =1, 2, 3, ..

Snakes are increasing by 4.

28, 32, 36,....

Function = 24 + 4n n = number of end year, n =1, 2, 3,...

B) After 10 years: 
Parrot = 20(1.15)¹⁰ = 80.91115471

Snakes = 24 + 4(10) = 64

C) After what time they are the same: 
We use trial and error:

Test: n 20(1.15^n) (24 + 4n)
 1 23 28
 2 26.45 32
 3 30.41 36 
 4 34.98 40
 5 40.23 44
 6 46.26 48
 7 53.20 52
 8 61.18 56
 9 70.36 60

After year 7, the Parrots increases far more.
At year 7 they are roughly the same.

8 0

3 years ago

Complete the table of inputs and outputs for the given function. F(x)= -5(x+7)

levacccp [35]

The table of inputs that satisfy the given function is (-2, 25), (-1, -30), (0, 35), (1, -40) and (2, -45).

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the function f(x) = -5(x + 7)

When x = -2; f(-2) = -5(-2 + 7) = -25

When x = -1; f(-1) = -5(-1 + 7) = -30

When x = 0; f(0) = -5(0 + 7) = -35

When x = 1; f(1) = -5(1 + 7) = -40

When x = 2; f(2) = -5(2 + 7) = -45

The table of inputs that satisfy the given function is (-2, 25), (-1, -30), (0, 35), (1, -40) and (2, -45).

Find out more on equation at: brainly.com/question/13763238

#SPJ1

6 0

2 years ago