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ANEK [815]
3 years ago
10

True or False ? A remainder of 1 or more in the process of doing synthetic division tells you that you have found a root of the

polynomial function and a factor of the polynomial.
Mathematics
2 answers:
coldgirl [10]3 years ago
7 0

Answer:

False

Step-by-step explanation:

If the value is a root of the polynomial, then the remainder will be 0. This means that the root as a factor will multiply to make the polynomial.

ikadub [295]3 years ago
3 0

Answer:

The given statement is False.

Step-by-step explanation:

Given statement: A remainder of 1 or more in the process of doing synthetic division tells you that you have found a root of the polynomial function and a factor of the polynomial.

In the synthetic division, if a polynomial p(x) completely divided by a number c (remainder is 0), then (x-c) is a factor of f(x) and c is a root of the polynomial p(x).

It means only remainder of 0 in the process of doing synthetic division tells you that you have found a root of the polynomial function and a factor of the polynomial.

Therefore the given statement is False.

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Hannah does push-ups in sets of three she did 10 sets of push-ups today then her coach asked her to do 15 more push-ups how many
scoray [572]

Answer:

30+ 15 =45

Step-by-step explanation:

(3×10)+15 =45

4 0
3 years ago
30 = −5(6n + 6) multi step equation show all steps pls
lora16 [44]

Step-by-step explanation:

30=-5(6n+6)

30=-5×6n-5×6

30=-30n-30

30+30=-30n

60=-30n

60/-30=-30n/30

-2=n

5 0
3 years ago
Read 2 more answers
In an arithmetic sequence, t4 + t5 + t6 = 300, and t15 +t16+ t17 = 201. Find t18.
stiks02 [169]
In an arithmetic sequence:
Tn=t₁+(n-1)d

t₄=t₁+(4-1)d=t₁+3d
t₅=t₁+(5-1)d=t₁+4d
t₆=t₁+(6-1)d=t₁+5d

t₄+t₅+t₆=(t₁+3d) +(t₁+4d)+(t₁+5d)=3t₁+12d

Therefore:
3t₁+12d=300    (1)


t₁₅=t₁+(15-1)d=t₁+14d
t₁₆=t₁+(16-1)d=t₁+15d
t₁₇=t₁+(17-1)d=t₁+16d

t₁₅+t₁₆+t₁₇=(t₁+14d)+(t₁+15d)+(t₁+16d)=3t₁+45d

Therefore:
3t₁+45d=201    (2)

With the equations (1) and (2) we make an system of equations:

3t₁+12d=300
3t₁+45d=201

we can solve this system of equations by reduction method.

  3t₁+12d=300
-(3t₁+45d=201)
-----------------------------
       -33d=99      ⇒d=99/-33=-3

3t₁+12d=300
3t₁+12(-3)=300
3t₁-36=300
3t₁=300+36
3t₁=336
t₁=336/3
t₁=112

Threfore:

Tn=112+(n-1)(-3)
Tn=112-3n+3
Tn=115-3n

Now, we calculate T₁₈:

T₁₈=115-3(18)=115-54=61

Answer: T₁₈=61




5 0
3 years ago
What is the reason for each step in the solution of the inequality?
Citrus2011 [14]

step 1: Given

step 2: Distributive Property

step 3: Combine Like terms

step 4: Subtraction Property of Order

step 5: Addition property of order

step 6: Division property of order

Step-by-step explanation:

We are given the inequality: -38-3(x+5)>6x-17

We need to match each step with the reasons.

The given steps are:

1.

−38−3(x+5)>6x−17

So, Reason for step 1: Given

2.

−38−3x−15>6x−17

So, Reason for step 2: Distributive Property

3.

−3x−53>6x−17

So, Reason for step 3: Combine Like terms

4.

−9x−53>−17

So, Reason for step 4: Subtraction Property of Order

5.

−9x>36

So, Reason for step 5: Addition property of order

6.

x<−4

So, Reason for step 6: Division property of order

Keywords: Solving inequalities

Learn more about Solving inequalities at:

  • brainly.com/question/1465430
  • brainly.com/question/6703816
  • brainly.com/question/4192226

#learnwithBrainly

7 0
3 years ago
Find the diameter of a circle with a circumference of 443 feet. Use 3.14 for pi.
marishachu [46]

Answer:

\huge\boxed{\sf d = 141\ feet}

Step-by-step explanation:

<u>Given Data:</u>

Circumference = C = 443 ft

<u>Required:</u>

Diameter = d = ?

<u>Formula:</u>

d = C / π

<u>Solution:</u>

d = 443 / 3.14

d = 141.0 feet

d = 141 feet

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
3 0
2 years ago
Read 2 more answers
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