Mathematics, 18.07.2019 19:00 mariaceleste110505

Which is the graph of the function f(x) = x3 + 6x2 + 11x + 6?

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Answer from: SmoothCruzito16

The graph of the function is attached below.

The roots of the given equation are -3, -2, and -1.

We have to determine the graph of the function f(x) = x3 + 6x2 + 11x + 6.

According to the question,

The graph of the function is determined by factorizing the function following all the steps given below.

$\rm f(x) = x^3 + 6x^2 + 11x + 6.$

Factorize the equation,

$\rm x^3 +6x^2+ 11x + 6\\\\ x^3+3x^2+3x^2 + 9x+2x+ 6\\\\ x(x^2+3x+2) +3(x^2+3x+2)\\\\(x+3) (x^2+3x+2)\\\\(x+3) (x+1) (x+2)$

The roots of the equation are as follows;

$\rm x+3=0, \ \ x=-3\\\\x+2=0,\ \ x=-2\\\\x+1=0, \ \ x=-1$

Hence, the roots of the given equation are -3, -2, and -1.

To know more about the Cubic equation following all the steps given below.

link

Answer from: demetriascott20

f(x) = x^3 + 6x2 + 11x + 6 begins with a positive 3rd power of x. Immediately we know that the graph begins in Quadrant 3 and continues (not ends) in Quadrant 1. Looking at the last term, we see that possible factors may be 6, 3, 2 or 1 or one or more of the negatives. Supposing I chose -2 and test whether it is or is not a root of this function:

_____________
-2 / 1 6 11 6
-2 -8 -6
----------------------
1 4 3 0

Because the remainder here is zero, we know that -2 is a root. Thus, the graph passes thru (-2,0). From the coefficients 1 4 3, we see that -1 and -3 are the other roots. The graph crosses the x-axis at x = -1, x= -3 and x= -2.
Can you now identify the graph that properly represents f(x) = x3 + 6x2 + 11x + 6?
Which is the graph of the function f(x) = x3 + 6x2 + 11x + 6?

Which is the graph of the function f(x) = x3 + 6x2 + 11x + 6?

Answer from: Quest

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step-by-step explanation:

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Answer from: Quest

the camry sales+accord sale=828,000. to make it so the two numbers are 18 thousand apart and still equal 828,000, you first need to find out what half of 828,000 is. 828,000/2=414,000. for the two numbers to equal 828,000, you have to add the same amount as you subtract from the middle. in this case, the number is 9,000 because it's half of 18,000. to equal 828,000, you have to add 9,000 to 414,000 for the camry and subtract 9,000 from 414,000 for the accord. 414,000+9,000=423,000.

414,000-9,000=405,000.

423,000+405,000=828,000.

423,000-405,000=18,

hope it

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