2 years ago

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 $\pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20$ .

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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

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3 years ago

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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

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3 years ago

Only the correct answer

storchak [24]

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3 years ago

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$.
Final answer: 1008$

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3 years ago