MATHEMATICS HIGH SCHOOL

What is the factored form of x^3-1?

Answers

Answer 1

Answer:

Answer:

$(x-1)(x-((-1-i√(3))/(2)))(x+((-1+i√(3))/(2)))$

Step-by-step explanation:

Given equation : $f(x)=x^3-1$

To write it's factored form :

⇒ $x^3-1=0$

⇒ $(x-1)(x^2+x+1)$

⇒ $(x-1)(x-((-1-i√(3))/(2)))(x+((-1+i√(3))/(2)))$

⇒ $x=1,x=(-1-i√(3))/(2)),x=(-1+i√(3))/(2)$

⇒ $x=1,(-1-i√(3))/(2),(-1+i√(3))/(2)$

Answer 2

Answer:

the factored form of of the expression x³ - 1 is (x - 1)(x² + x + 1).

What are the factors of the expression?

Given the expression in the question:

x³ - 1

To factor the expression x³ - 1, we use the difference of cubes formula.

It states that:

a³ - b³ can be factored as (a - b)(a² + ab + b²).

x³ - 1

First, rewrite the expression as:

x³ - 1²

Here, we identify 'a' as x and 'b' as 1.

Applying the difference of cubes formula, we get:

a³ - b³ = (a - b)(a² + ab + b²)

x³ - 1² = ( x - 1)(x² + x + 1²)

Simplify:

x³ - 1² = ( x - 1)(x² + x + 1)

Therefore, the factored form is ( x - 1)(x² + x + 1).

Learn more about difference of cubes formula here: brainly.com/question/30759853

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Find the perimeter of a quadrilateral with vertices at C (−1, 2), D (−2, −1), E (2, −2), and F (1, 1). Round your answer to the nearest hundredth when necessary.

Answers

To get the perimeter of the quadrilateral, the distance formula can be used. We simply have to subtract the y coordinate of one point to another and the same for the x coordinate. The square root of the sum of the squares of the difference is the distance.The results can then be added to get the perimeter. So,
CF = sqrt ( (2-(-1))^2 + (-1-(-2))^2 ) = sqrt(10)
FE = sqrt ( (-2-1)^2 + (2-1)^2 ) = sqrt(10)
ED = sqrt ( (-1-(-2))^2 + (-2-2)^2 ) = sqrt(17)
DC = sqrt ( (2-(-1)^2 + (-1-(-2))^2 ) = sqrt(10)

P = CF + FE + ED + DC = sqrt(10) + sqrt(10) + sqrt(17) + sqrt(10) = 13.61

Answer: The answer is 12.68 units.

Step-by-step explanation:

What is the lateral area of a right circular cone if the diameter of the base is 4 m and the slant height of the cone is 15m? Round your answer to the nearest whole number. A. 94 m2 B. 107 m2 C. 214 m2 D. 188 m2

Answers

my guess would be B hope i helped

I am confused but my best option is B.

What is another way to write 4 hundreds?

Answers

There is 3 form that mostly used in math: standard form, expanded form and word form. In this question, 4 hundred would be word form. So, to write 4 hundred in a different form the answer would be:

Standard form: 400
Expanded form : 4x100

Amelia has a triangular kite with an area of 30 square inches and a height of 6 inches. How long is the base of the kite?

Answers

Area of triangle = 0.5 * base * height
30 = 0.5 * 6 * base
30 = 3 * base
so , base = 10 inch

Answer:

Draw a vertical line to break the kite into two equal triangles with a base of 36 and a height of 15. Use the formula A = 1

bh to find the area of each. The sum of the areas is the area of the kite.

Step-by-step explanation:

boom

Solve. 8/x + 15/x^2 = -1A.
x= 5,-3

B.
x= -5,-3

C.
x= -5,3

D.
x=5,3

Answers

8/x + 15/x^2 = -1
(8x+15)/x^2 = -1
8x + 15 = -1*x^2
8x + 15 = -x^2
x^2 + 8x + 15 = 0
(x+5)(x+3) = 0
x+5=0 ................ x+3=0
x = -5 ..................... x = -3

saludos :)

Simplify square root of 5 open parentheses 8 plus 3 square root of 6 close parentheses.8 square root of 5 end root plus 3 square root of 30
5 square root of 10
130
None of the above