All categories

4 years ago

Is x + 2 a factor of x^20 - 4x^18 + 3x - 6

Mathematics

1 answer:

KiRa [710]4 years ago

5 0

Answer: (x-2) is not a factor

Step-by-step explanation:

x^20 - 4x^18 +3x - 6 = 0 is a polynomial.

To test if (x + 2) is a factor, we are to use factor theorem

Make x the subject of the formula

x + 2 = 0

x = 0 - 2

x = -2

Put x = -2 into the equation. If the result on both the left hand side and right hand side is 0, then (x + 2) is a factor

(-2)^20 - 4(-2)^18 + 3(-2) - 6 = 0

1048576 - 4(262144) -6 -6 =0

1048576 - 1048576 -12 = 0

0 -12 = 0

-12 =0

Since LHS is not equal to RHS. (x+2) is not a factor of the equation

You might be interested in

Write 94% as a fraction in simplest form

lana [24]

9.4/10 is the simplest form

8 0

3 years ago

Read 2 more answers

20y-10x=5 in slope intercept form can you explain the steps

Studentka2010 [4]

Given:

The equation is

$20y-10x+5$

To find:

The slope intercept form of the given equation.

Solution:

The slope intercept form of a linear equation is

$y=mx+b$

Where, m is slope and b is the y-intercept.

We have,

$20y-10x=5$

We need to isolate y. Add 10x on both sides.

$20y-10x+10x=5+10x$

$20y=5+10x$

Divide both sides by 20.

$\dfrac{20y}{20}=\dfrac{5+10x}{20}$

$y=\dfrac{5}{20}+\dfrac{10x}{20}$

$y=\dfrac{1}{4}+\dfrac{x}{2}$

$y=\dfrac{1}{2}x+\dfrac{1}{4}$

Therefore, the slope intercept form of the given equation is $y=\dfrac{1}{2}x+\dfrac{1}{4}$ .

4 0

3 years ago

Help me plz 8th grade math need answers quick

mixer [17]

Answer:

25. Not a solution

26. Yes a solution

27. y= 2/3 x

28. y=3x+16

Step-by-step explanation:

25. The solution to a linear equation is the point (x,y). To find if an (x,y) is a solution, substitute it into the equation and see if it works.

y=4x-4 and (8,3)

3=4(8)-4

3=32-4

3=28

False

Not a solution.

26. Repeat 25 to solve 26 with y=5x-5 and (0,-5)

y=5x-5 and (0,-5)

-5=5(0)-5

-5=0-5

-5=-5

True

Yes a solution.

27. This line crosses through the origin is proportional and therefore has the form y=mx. It also has a gentle slant meaning that is less than 1/2 and goes in a positive direction. This means it is y=2/3 x.

28. Use inverse operations to rearrange the equation.

y-3x=16

y=16+3x

y=3x+16

8 0

3 years ago

Simplify.

Dafna11 [192]

Answer:

C. 2x^2-7x+7

Step-by-step explanation:

(3x^2-2x+2)-(x^2+5x-5) Given

From the given you will subtract like terms from both parenthesis.

3x^2-x^2=2x^2

-2x-5x=-7x

2-(-5)=7

6 0

3 years ago

Write each of the following expressions without using absolute value: |z−6|−|z−5|, if z<5

abruzzese [7]

Answer:

The answer is 1.

Step-by-step explanation:

Given the expression:

$|z-6|-|z-5|,\ if\ z$

To find:

The expression without absolute value.

Solution:

First of all, let us learn about the absolute value function:

$y = f(x) = |x| =\left \{ {{x\ if\ x>0} \atop {-x\ if\ x$

i.e. value is x if x is positive

value is -x if x is negative

Here the given expression contains two absolute value functions:

$|z-6|$ and $|z-5|$

Using the definition of absolute value function as per above definition.

$|z-5| =\left \{ {{(z-5)\ if\ z>5} \atop {-(z-5)\ if\ z$

$|z-6| =\left \{ {{(z-6)\ if\ z>6} \atop {-(z-6)\ if\ z$

Now, it is given that z < 5 that means z will also be lesser than 6 i.e. z < 6

So, given expression $|z-6|-|z-5|,\ if\ z$ will be equivalent to :

$-(z-6) - (-(z-5))\\\Rightarrow -z+6 +z-5 = \bold{1}$

So, the expression is equivalent to 1.

6 0

3 years ago