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Oduvanchick [21]
2 years ago
7

3 numbers between 80 and 90 that are semi prime

Mathematics
1 answer:
MA_775_DIABLO [31]2 years ago
5 0
The 3 numbers: 83, 87 and 89
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Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po
jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

Step-by-step explanation:

The given equation is

x^3-21x=-20

It can be written as

x^3+0x^2-21x+20=0

Splitting the middle terms, we get

x^3-x^2+x^2-x-20x+20=0

x^2(x-1)+x(x-1)-20(x-1)=0

(x-1)(x^2+x-20)=0

Splitting the middle terms, we get

(x-1)(x^2+5x-4x-20)=0

(x-1)(x(x+5)-4(x+5))=0

(x-1)(x+5)(x-4)=0

Using zero product property, we get

x-1=0\Rightarrow x=1

x-4=0\Rightarrow x=4

x+5=0\Rightarrow x=-5

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

3 0
3 years ago
Each of five friends has between $3.50 and $4.25. Which could be the total amount of money the five friends have?
sleet_krkn [62]
The answer would be around $20
7 0
3 years ago
Read 2 more answers
If m(x) = x^2 + 3 and n(x) = 5x + 9, which expression is equivalent to (mn)(x)?
eduard
(x^2 + 3)(5x + 9)
5x^3 + 9x^2 + 15x + 27
7 0
3 years ago
Only the correct answer
storchak [24]
Its A.........................................
6 0
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The perimeter of a square closet is 12 m. What is the cost of carpeting it at $7.00 per square meter
snow_lady [41]
Area= 12m * 12m = 144m^2 *7.00$ = 1008$.
Final answer: 1008$
5 0
3 years ago
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