Factor f(x) = 4x2 + 11x? - 104x + 105 into linear factors given that – 7 is a zero of f(x).
f(x) = 4x + 11x2 - 104x + 105 = |
(Factor completely.)

Factor F(x) = 4x2 + 11x? - 104x + 105 Into Linear Factors Given That 7 Is A Zero Of F(x).f(x) = 4x +

Answers

Answer 1

Answer:

f(x) = 4x + 11x2 - 104x + 105  =  (x - 3)(x + 7)(4x - 5)

Step-by-step explanation:

f(x) = 4x^3 + 11x2 - 104x + 105

has the coefficients {4, 11 -104, 105}.  We perform synthetic division using the given -7 as divisor:

-7   /   4      11     -104     105

                -28     119     -105

     -----------------------------------

          4      -17      15         0

Since the remainder is zero (0), we have shown that -7 is a zero of f(x).  The coefficients of the quotient (above) are {4, -17, 15}.  Let's try factoring the corresponding polynomial again using synthetic division.  Start out by using 5 as divisor and determining whether or not the remaindeer is zero:

5    /     4     -17      15

                    20     15

     -------------------------

             4        3     30           No, the remainder is 30 and so 5 is not a

                                               root of this quadratic.  Try the divisor 3 instead:

3     /     4      -17      15

                      12      -15

      ---------------------------

             4       -5        0        Yes, the remainder is 0 and so 3 is a root.

Thus, the given f(x) = 4x + 11x2 - 104x + 105 factors as follows:

f(x) = 4x + 11x2 - 104x + 105  =  (x - 3)(x + 7)(4x - 5).  Notice that the coefficients of the last factor come from those we found above when using 3 as a divisor in synthetic division.  


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Answer:

Below in bold.

Step-by-step explanation:

If we draw a line  from top right vertex perpendicular to the  bottom line we get a right triangle.

Height of this triangle = sqrt(5^2 - 3^2) = 4.

This is also the height of the polygon.

The polygon is a trapezium so:

Area of the polygon = 1/2(5 + 8) * 4

= 6/5 * 4

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Answer:

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Ángel: 6 horas

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Sumamos ambas velocidades de trabajo:

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Answer:

x=50

Step-by-step explanation:

65+65=130

180-130=50

Answer:

50 is the answer

Step-by-step explanation:

this is a isosceles triangle having 65 and 65

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plz mark my answer as brainlist plzzzz .

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x=68

Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

PLA HURRY I WILL GIVE BRAINLIST​

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation: Hope that helps!!!!

Happy valentines day and have a great day!

AVALIAÇÃO DIAGNÓSTICA
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Answer:

-(1/4)^4

Step-by-step explanation:

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(1.5×1.2)×(10^(6+2))

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Step-by-step explanation:

Answer:

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Answers

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Step-by-step explanation:

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Answers

Answer:

x<=2

Step-by-step explanation:

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Select the correct answer.
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[tex]g(x)=2x^2-6x-56[/tex]

A.
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C.
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D.
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Answers

Answer:

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Answer:

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Step-by-step explanation:

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I need a picture to actually solve this. Can u post it?

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Answer:

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Step-by-step explanation:

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2) As 'x' approaches 2 from the right (x → 2⁺), the graph with 'n' shape located at the right side of the three graphs, approaches negative infinity (-∞) (arrow pointing down)

Therefore, the function's behavior close to the vertical asymptote, x = 2 is given as follows;

[tex]\lim\limits_{x \to 2^-} f(x) = \infty[/tex] and [tex]\lim\limits_{x \to 2^+} f(x) = -\infty[/tex]

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Answers

Given:

The sum of 8 and B is greater than 22.

To find:

The inequality for the given statement and its solution.

Solution:

We know that, sum of two number is the addition of two numbers.

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It is given that, the sum of 8 and B is greater than 22.

[tex]8+B>22[/tex]

Subtracting 8 from both sides, we get

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Answers

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Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

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Step-by-step explanation:

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Point (5, 3)

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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11, 9, -6, -9

Step-by-step explanation:

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Answers

Answer:

p^10

Step-by-step explanation:

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Answer:

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-Question 4
Jen weighs 100 pounds, Jack weighs 120 pounds, and Billy weighs 80 pounds. What is their average weight?

Answers

Answer:

100 pounds

Step-by-step explanation:

To find their average weight, add all of their weights together then divide it by 3

(100 + 120 + 80) / 3

300 / 3

= 100

So, their average weight is 100 pounds

100 + 120 + 80 = 300

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Answers

Answer:

3,600 kg

Step-by-step explanation:

2,400÷6=400

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Answers

Unprocessed material ,, like steel, oil, Gasoline etc
Raw materials are the basic materials from which a product is made. For example metal, rock, clay, or wood. Hope that helps!
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