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2 years ago

Write a polyomial equation of degree 4 that has the following roots: -1 repeated three times and 4.

Mathematics

1 answer:

yanalaym [24]2 years ago

6 0

The polynomial equation is P(x) = (x + 1)(x + 1)(x + 1)(x - 4)

<h3>How to determine the polynomial?</h3>

The given parameters are:

Degree = 4
Roots = -1 (three times) and 4

A polynomial equation is represented as:

P(x) = (x- Root)

So, we have:

P(x) = (x - (-1))(x - (-1))(x - (-1))(x - 4)

Open the inner brackets

P(x) = (x + 1)(x + 1)(x + 1)(x - 4)

Hence, the polynomial equation is P(x) = (x + 1)(x + 1)(x + 1)(x - 4)

You might be interested in

Aliun [14]

The answer:

according to the image, the main theorem concerning right triangle similarity is as follow:
the altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and each other,

in our case, KL is the altitude, and by applying theorem, we get three triangles that are similar:
therefore:
△JKL ~ △JKM
△JKM ~ △JKM
△JMK ~ △KML

5 0

3 years ago

Read 2 more answers

Martina, Jim, and Scott served a total of 121 orders Monday at the school cafeteria. Martina served 6 more orders than Scott. Ji

iris [78.8K]

Answer:

Martina 29, Scott 23 and Jim 69.

Step-by-step explanation:

We are told that:

Martina served six more X orders than Scott (X+6).

So, Scott served X orders.

And Jim served 3 times X order as Scott.

We will have then:

X + (X+6) + 3X = 121

5X + 6 = 121

5X = 121 - 6

5X = 115

X = 115/5

X = 23

So, Scott served 23 orders, Martina 29 and Jim 69.

8 0

2 years ago

Find the equation of the sphere in standard form centered at (−6,10,5) with radius 5.

Dovator [93]

Answer:

The equation of the sphere in standard form is

$x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0$

Step-by-step explanation:

Step 1:-

The equation of the sphere having center and radius is

$(x-h)^{2} +(y-k)^{2} +(z-l)^{2} = r^{2}$

Given centered of the sphere is (-6,10,5) and radius r=5

$(x-(-6))^{2} +(y-10)^{2} +(z-5)^{2} = 5^{2}$

on simplification,we get

$using (a+b)^{2} =a^{2} +2 a b+b^{2}$

$using (a-b)^{2} =a^{2} -2 a b+b^{2}$

simplify , we get

$x^{2} +y^{2}+z^{2} +12 x-20 y-10 z+136=0$

8 0

2 years ago

Need help please and thank you

Georgia [21]

Answer:

y=5

x=20 degrees

K= 43 degrees

L=137 degrees

Step-by-step explanation:

aducent angles of parralologram add to 180 degrees

so (6x+17)+ (2x+3)=180

or 6x+17+2x+3=180

so 8x+20=180

and 8x=160

x=20 degrees

opposite sides of parralologram are equal so

6y-13= 32-3y

or 9y=45

and y=5

opposite angles are coonguent so

ang K= 2x+3

so K= 43 degrees

aducent angles of parralologram add to 180 degrees

so ang L+43=180

and L=137 degrees

if you find my answer helpful please mark as brainliest

7 0

2 years ago

Evaluate the following expression for x = 4. 1+3(x-1)-2x

xz_007 [3.2K]

Answer:

Step-by-step explanation:

1+3(x-1)-2x

Substitute the value of x into the equation:

1 + 3(4-1) -2 (4)

1 + 3(3)- 8

1 + 9 - 8

8 0

2 years ago