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2 years ago

How to find the roots of a polynomial of degree 4.

Mathematics

1 answer:

german2 years ago

7 0

Answer:

In this case, the factor that comes out is x=−3, so you would divide by (x+3). Repeat until you've reduced to a quadratic, and then use the quadratic formula to find the irrational coefficients (if any). Simple factorisation solves your problem. Hence the 4 roots are x=12,x=−3,x=2i and x=−2i.

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Find the rate of change

Tatiana [17]

$\bf slope = m = \cfrac{rise}{run} \implies 
\cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby 
\begin{array}{llll}
average~rate\\
of~change
\end{array}\\\\
-------------------------------\\\\
h(x)= 2^x \qquad 
\stackrel{2\le x\le 4}{\begin{cases}
x_1=2\\
x_2=4
\end{cases}}\implies \cfrac{h(4)-h(2)}{4-2}\implies \cfrac{2^4-2^2}{2}
\\\\\\
\cfrac{16-4}{2}\implies \cfrac{12}{2}\implies 6$

5 0

3 years ago

About how many cubes were used to make this figure? A. about 40 B. about 70 C. about 100 D. about 140

natta225 [31]

Answer:

Around 100,i.e. 105

Step-by-step explanation:

In the given cube

Length of the cube = 7 unit cells

Breadth of the cube = 3 unit cells

Height of the cube = 5 unit cells

Therefore the number of unit cubes required to make such big cube is nothing but the volume of the big cube = length*breadth*height

⇒Number of cubes used to make that big cube= 7*5*3

= 105

Hence, option D (around 100) is the correct answer

4 0

2 years ago

The quotient of 8 times a number and the cube root of the number

galben [10]

Answer:

you would be dividing so it will be n over 8

Step-by-step explanation:

n/8...

hope this helped?

3 0

3 years ago

(02.07)Which relationship is always true for the angles x, y, and z of triangle ABC? A triangle is shown with a leg extending pa

zysi [14]

Check out the attached image. I drew what I think your book is showing. The figure on the left is triangle ABC without any extended segments. The figure on the right has segment AB extended shown in red. This forms the exterior angle x

The rule that connects x, y and z together is the remote interior angle theorem. It says that adding two interior angles is going to be equal to the exterior angle that is not touching either interior angle. The "remote" part means "far away" so just think of the two angles that are furthest way or not touching the exterior angle in question.

In terms of algebra, the rule is
x+y = z

3 0

3 years ago

Read 2 more answers

Suppose the polynomial f(x) has the following end behavior: as x approaches infinity, f(x) approaches infinity, and as x approac

galina1969 [7]

Answer:

C. x³+10x²−5x+5

E. 7x⁵+4x²

F. x+8

Step-by-step explanation:

The graph they described should look something like the one i drew below.

So all you have to do is look at the number with the highest exponent.

If the exponent is an odd number and the x is positive then that function will have an end behavior like the picture i posted.

x³ is good

-x³ is bad because of the negative sign

x² is bad because exponent is even

x⁷ is good

123x¹ is good

6 0

3 years ago