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Luden [163]
3 years ago
12

If x+4 Is a Factor Of The Polynomial x³-x²-14x+24 ,Then Find Other Factors.​

Mathematics
1 answer:
Allisa [31]3 years ago
6 0

Answer:

(x - 3) and (x - 2)

Step-by-step explanation:

Using the method of long division to divide the polynomial by x + 4

               

                   x² - 5x + 6

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

x + 4   |  x³ - x² - 14x + 24

             x³ + 4x²

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

                  - 5x² - 14x + 24

                   - 5x² - 20x

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

                               6x + 24

                               6x + 24

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

                              0        0

The quotient is x² - 5x +  6 = (x - 2)(x - 3)

x³ - x² - 14x + 24 = (x - 2)(x - 3)(x + 4) ← in factored form

 

          |

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Which simplified equation below represents the equation of the line, y - y1 = m(x - x1), through the point (4,4) that is perpend
Korvikt [17]

Answer:

D

Step-by-step explanation:

y-y1=m(x-x1) through (4,4)

x-3y= -18 is perpendicular : m1*m2=-1

y=mx+c

-3y=-18-x

3y= 18+x

y=x/3 + 6

y= 1/3x + 6

m1*m2= -1

m1= -1/m2

m1= -1/1/3

m1= -3

y- 4= -3(x - 4)

y-4= -3x +12

y= -3x +12+4

y= -3x + 16

4 0
3 years ago
What is the value of x?<br> 799<br> A. 36°<br> B. 14°<br> C. 1440<br> D. 56
Alborosie
Option A because the whole triangle equals 180 degrees so as long as your option plus the numbers in the triangle equal 180° you will get it right
8 0
3 years ago
Which of the following rational functions is graphed below?
lidiya [134]

Vertical asymptote:

A vertical asymptote is a value of x for which the function is not defined, that is, it is a point which is outside the domain of a function;

In a graphic, these vertical asymptotes are given by dashed vertical lines.

An example is a value of x for which the denominator of the function is 0.

In this graphic:

Dashed vertical lines at: x = -3, x = 7, thus, for x - (-3) = x+3 and x - 7 the denominator is zero.

Thus, the function graphed is:

F(x) = \frac{1}{(x+3)(x-7)}

And the correct answer is given by option C.

To take a look at a problem with asymptote, you can check this item brainly.com/question/4084552.

6 0
3 years ago
A jar contains 5 blue marbles, 6 yellow marbles, and 4 green marbles. What is the probablity of randomly choosing a yellow marbl
marusya05 [52]

First, you need to choose a yellow marble. That is 6/15.

Next, you need to choose a blue marble. That is 5/14, because 1 yellow marble would have been "chosen" already.

So the probability altogether is 6/15 * 5/14 = 1/7, or about 14%.

4 0
3 years ago
I need help with question 3!! Will give brainliest!!!
alex41 [277]

Answer:

x=4

Step-by-step explanation:

3(3x+2)=7(x+2)         Cross product

9x+6=7x+14              Solve for x

9x-7x=14-6

2x=8

x=8/2

x=4

6 0
3 years ago
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