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Mashcka [7]
2 years ago
6

Which statement best justifies whether (x-3) is a factor of the polynomial p(x)=x3-3x2-2x-6?

Mathematics
1 answer:
PIT_PIT [208]2 years ago
3 0

The polynomial P(3) is not equal to zero, hence the function x - 3 is not a factor of the polynomial function given

Given the polynomial function of degree 3 expressed as

p(x) =x³-3x²-2x-6

In order to determine whether x - 3 is a factor, we will follow the simple steps below;

Let r(x) = x- 3

Since x - 3 is a factor, hence r(x) = 0]

x - 3 = 0

]x = 3

Substitute x = 3 into the polynomial function to see if p(3) = 0

P(3) = x³-3x²-2x-6

P(3) = 3³-3(3)²-2(3)-6

P(3) = 27 - 27 - 6 - 6

P(3) = -6-6

P(3) = -12

Since the polynomial P(3) is not equal to zero, hence the function x - 3 is not a factor of the polynomial function given

Learn more here: brainly.com/question/19030198

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Answer:

4 divided by 2 = 2 so 2carrots per cup of water

Step-by-step explanation:

Hope this helps

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What is the solution of this equation x + 6 =24
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If you are looking for x then it is X = 18
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What is the slope of the line that passes through the points (-3,-3) and (-5,-2)
kramer

Answer:

-1/2

Step-by-step explanation:

slope = rise/run = y1-y2/x1-x2 = -3-(-2)/-3-(-5) = -3+2/-3+5 = -1/2

7 0
3 years ago
A square rug has an area of 72ft2.(squared). Write the side length as a square root. Then decide if the side length is a rationa
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Answer: it’s square root(72) and no the length is not a rational number

Step-by-step explanation:

3 0
3 years ago
What is the equation, in standard form, of a parabola that models the values in the table? x~ -1 0 2
Inessa05 [86]
<h2>Steps</h2>
  • Standard Form Equation: f(x) = ax² + bx + c

So firstly, since (0,5) is one of our values we can plug it into the standard form equation to solve for the c variable (since 0 will cancel out the a and b variable):

5=a*0^2+b*0+c\\5=c

Now we know that the value of c is 5. Next, plug in (-1,12) into the standard form equation and simplify (remember to also plug in 5 for the c variable):

12=a*(-1)^2+b*(-1)+5\\12=a-b+5\\7=a-b

Next, plug (2,15) into the standard form equation and simplify:

15=a*2^2+b*2+5\\15=4a+2b+5\\10=4a+2b\\5=2a+b

Now, with our last two simplified equations we will create a system of equations:

7=a-b\\5=2a+b

Now, I will be using the elimination method with this system. With the system, add up the equations together and you will get:

12=3a

From here, we can solve for the a variable. With it, just divide both sides by 3:

4=a

Now that we know the value of a, plug it into either equation to solve for the b variable:

7=4-b\\3=-b\\-3=b\\\\5=2(4)+b\\5=8+b\\-3=b

<h2>Answer</h2>

Putting all of our obtained values together, your final answer is:

f(x)=4x^2-3x+5

8 0
3 years ago
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