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3 years ago

Is 2 a root of the polynomial? x^4 + 2x^3 - 9x^2 - 2x + 8

1 answer:

6 0

Yes.

first factor, it’ll come out to:
(x+1)(x-1)(x-2)(x+4)

then just solve each individual factor, but the only one you’re interested in is (x-2) so:

x-2=0
x=2

2 is a root of that polynomial
(the other roots are -1, 1, and -4)

You might be interested in

Find the solution of this system of equations. Separate the x- and y- values with a comma. x-2y=-24 and x-y=4

defon

X - 2y = -24
x - y = 4

Isolate x in the first equation by adding 2y to both sides.
x = -24 + 2y

Now plug in this value of x into the second equation.
(-24 + 2y) - y = 4
Solve. Combine all like terms, 2y - y.
-24 + y = 4
Add 24 to both sides to isolate y.
y = 28

Now plug y back into the first equation to find x.
x - 2(28) = -24
x - 56 = -24
Add 56 to both sides to isolate x.
x = 32

The solution is (32, 28).

6 0

3 years ago

Idk what all these means need help plzzzzzx

Schach [20]

It is d bexause every 6 is moved to the left for every one and it isnt abexause if you add 6 it would instwad go 6 12 18 24 and so on and its no c because if you move it to the right the # would decrease and obviously not b because if you subtract 0 every time it would stay as the same number

3 0

3 years ago

Read 2 more answers

A and B are supplementary angles. If A = (5x + 27)° and B = (5x – 7)º, then find the measure of angle A.

vazorg [7]

Answer:

x=16

(5x + 27)° =5(16)+27=80+27=107

(5x – 7)º= 5(16)-7=80-7=73

Step-by-step explanation

supplementary angle=180

(5x + 27)° + (5x – 7)º=180

5x+27+5x-7=180

10x+20=180

10x=180-20

10x=160

x=160/10

x=16

(5x + 27)° =5(16)+27=80+27=107

(5x – 7)º= 5(16)-7=80-7=73

107+73=180

3 0

3 years ago

Consider the functions f(x)=x−7 and g(x)=4x^3.

maxonik [38]

Answer:

I think A is correct

7 0

3 years ago

A large nest of recently hatched bald eagles is located at the top of the Eiffel Tower (which is 324 meters tall) and is attract

Mariulka [41]

9514 1404 393

Answer:

80.5°

Step-by-step explanation:

The applicable trig function is the tangent.

Tan = Opposite/Adjacent

In this scenario, the side opposite the angle is the tower height, 324 m. The side adjacent is the distance to the tower, 54 m. Then the angle α is related by ...

tan(α) = 324/54

The value of the angle with this tangent is found using the arctangent function:

α = arctan(324/54) ≈ 80.5°

She should set her binoculars to 80.5°.

6 0

3 years ago