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Alexus [3.1K]
4 years ago
15

Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po

tential root of the polynomial
–7

0

1

3
Mathematics
2 answers:
Charra [1.4K]4 years ago
5 0

Answer:

Option C

Step-by-step explanation:

We are given that an equationx^3-21x=-20

We have to find the root of given polynomial equation by using rational root theorem.

x^3-12 x+20=0

Factor of 1 is 1.

Factors of 20 are \pm 1,\pm 2,\pm 4,\pm 5,\pm 10,\pm 20

The  roots of given polynomial is in the form

\pm \frac{2}{1},\pm \frac{4}{1},\pm\frac{5}{1},\pm \frac{10}{1},\pm \frac{20}{1}

When we substitute x=1 then we get

1-21+20=0

Therefore, 1 is a root of given polynomial.

Hence, option C is correct.

Artist 52 [7]4 years ago
4 0
X^3 - 21x = -20add 20 to both sidesx^3 - 21 x + 20 = 0Rational Root Theorem:Factors of P (constant) 20 = 1, 2, 4, 5, 10, 20-------------------------------      Factors of Q (leading Coefficient) = 1
Possible zeros (all + -) 1/1, 2/1, 4/1, 5/1, 10/1, 20/1
Of the choices given only the number 1 is a possible root.

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two years ago the cats tim and tom were toghether 15 years old.Now tom is 13 years old.In how many years will tim be 9 years old
Norma-Jean [14]

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Step-by-step explanation:

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That means Tim is now 4+2 = 6, so will be 9 in 3 years.

_____

<em>Additional comment</em>

If you want to write equations, there are several ways you can do it. We often like to use variables to represent the current age. We can assign ...

  x = Tim's current age; y = Tom's current age.

The sum of their ages 2 years ago was ...

  (x -2) +(y -2) = 15

Tom's current age is 13, so we have y=13. Using that in the equation gives ...

  x -2 +13 -2 = 15

  x = 6 . . . . . . . . . . subtract 9, collect terms

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3 0
2 years ago
How do I solve this?
Hunter-Best [27]

9514 1404 393

Answer:

  • x = 10
  • y = 19

Step-by-step explanation:

Consecutive interior angles between parallel lines are supplementary.

Let's start with x.

  (8x +40)° +(6x)° = 180°

  14x +40 = 180 . . . . . . . . . divide by °, collect terms

  14x = 140 . . . . . . . . . subtract 40

  x = 10 . . . . . . . . divide by 14

__

We can use the same approach for y:

  (7y)° +(3y -10)° = 180°

  10y = 190 . . . . . . . . . . . divide by °, add 10, collect terms

  y = 19 . . . . . . . . . . . divide by 10

5 0
2 years ago
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