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Gnoma [55]
3 years ago
7

If the polynomial p(x) is being divided my x-r, the remainder is p(r) TRUE OR FALSE

Mathematics
2 answers:
sertanlavr [38]3 years ago
8 0

Answer:

True. Remainder when divided by (x-r) is p(r).

Schach [20]3 years ago
7 0

Answer:

TRUE

Step-by-step explanation:

Let p(x) is divided by (x-r)

Then, by division algorithm of polynomials

  • p(x) = (x-r) Q(x) + R

R is the remainder and it is a constant because according division algorithm degree of remainder is always less than degree of divisor and greater than Or equal to 0. So it is 0.

Q(x) is quotient.

Now, if we particularly put x = r in the equation, we get.

  • p(r) = ( r-r) Q(r) + R
  • p(r) = R
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3 0
3 years ago
What is the simplified form of the equation 4/5n - 1/5 = 2/5n ?
Gnoma [55]

we are given

\frac{4}{5}n -\frac{1}{5} =\frac{2}{5}n

Firstly , we will multiply both sides by 5

5*\frac{4}{5}n -5*\frac{1}{5} =5*\frac{2}{5}n

now, we can simplify it

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3 years ago
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3 0
3 years ago
Graph the system of equations on your graph paper to answer the question. {y=x−4y=−x+6 What is the solution for this system of e
arsen [322]

Answer:

(5,1)

Step-by-step explanation:

Given :

y=x-4\\y=-x+6

Solution :

Equation 1 : y=x-4

Equation 2 : y = -x+6

We will use substitution method

Putting the value of y from equation 1 in equation 2

⇒x-4 = -x+6

⇒x+x= 6+4

⇒2x=10

⇒x=\frac{10}{2}

⇒x=5

Now substituting value of x in equation 1 to get value of y

⇒y=x-4

⇒y=5-4

⇒y=1

Thus the solution of given system of equations is (5,1)

We have also solved it by graphing the equations

You can refer the attached figure.


4 0
3 years ago
Read 2 more answers
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