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Lera25 [3.4K]
4 years ago
6

A remainder of zero in the process of doing synthetic division tells you that you have found a root of the polynomial function a

nd a factor of the polynomial.
true or false
Mathematics
2 answers:
Illusion [34]4 years ago
7 0
From the Quotient-Remainder Theorem follows that for every f(x)  there exist unique polynomials q(x) and r(x) such that:
f(x)=h(x)q(x)+r(x),
where r(x) is called remainder.
If r(x)=0, then f(x)=h(x)q(x) and q(x) is adivisor. If q(x) is of form q(x)=x-a, then a is a root of f(x).


balandron [24]4 years ago
6 0

Answer:

True

Step-by-step explanation:

For Apex

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Solve. {3d−e=7 d+e=5 Use the linear combination method. The solution is (2, −1). There are infinitely many solutions. The soluti
nydimaria [60]

Answer:

The solution of the given equations are (3,2).

Step-by-step explanation:

Given equations are :

3d−e=7 ...(1)

d+e=5 ...(2)

Add equations (1) and (2) we get :

3d-e+d+e=7+5

4d = 12

d = 3

Put the value of d in equation (2).

3+e=5

e = 2

So, the value of d = 3 and e = 2. Solution of the given equations are (3,2).

7 0
3 years ago
- 1/10 x 6/10 =<br><br><br> fastfastfastfast
soldier1979 [14.2K]

Answer: 1/10 x 6/10 = 6/100 = 3/50

Or -0.06

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
PLEASE HELP! A student says that the measures of coterminal angles are never opposites of each other. Is the student correct? Ex
garri49 [273]

The student is not correct. For angles to be coterminal, the difference between their measures must be a multiple of 360°. The difference between 180° and –180° is 360°. Angles with measures 180° and –180° are coterminal.

7 0
3 years ago
Read 2 more answers
The density of a block of wood with a volume of 50 cubic centimeters and mass off 100 grams is...................
Natalija [7]
Mass  = 100  g

Volume = 50 cm³

Density :

D = m / V

D = 100 / 50

D =  2 g/cm³

answer A

hope this helps!.
4 0
4 years ago
-3x + 4y = -6
Olegator [25]

<em> There is no any c values that would produce a system with no solution because the only c value that makes the line 2 to have the same slope as line 1 also produces the same y-intercept.</em>

<h2>Explanation:</h2>

<h3>Part A.</h3>

A system that has an infinite number of solutions is called Consistent and dependent. If we have a system of linear equations in two variables, then this system will have an infinite number of solutions if and only if the two equations are basically the same. In this case, we have the following system:

\left \{ {{-3x + 4y = -6} \atop {cx + 8y = -12}} \right.

Notice that if we divide the coefficient of the variable y we get:

\frac{8}{4}=2

And if we divide the constant terms we get:

\frac{-12}{-6}=2

So, in order to get c we have:

\frac{c}{-3}=2 \\ \\ \\ Isolating \ c: \\ \\ c=-3(2) \\ \\ c=-6

<h3>Part b.</h3>

A system with no solution is called inconsistent in whose case the two equations will have the same slope but different y-intercepts.

For the first equation we have:

-3x + 4y = -6

But, isolating y, we can write this in slope intercept form :

y=-\frac{3}{4}x-\frac{3}{2}

For the second equation we have:

cx + 8y = -12

But, isolating y, we can write this in slope intercept form :

y=-\frac{c}{8}x-\frac{3}{2}

So the only possible for the line to have the same slope as 1 is that:

-\frac{c}{8}=-\frac{3}{4} \\ \\ c=8(\frac{3}{4}) \\ \\ c=6

So they have the same slope but they also have the same y-intercept making the lines to be the same.

In conclusion,<em> there is no any c values that would produce a system with no solution because the only c value that makes the line 2 to have the same slope as line 1 also produces the same y-intercept.</em>

<h2>Learn more:</h2>

Solving system of linear equations:

brainly.com/question/13799715

#LearnWithBrainly

8 0
3 years ago
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