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Sophie [7]
3 years ago
8

Find all zeros x^3+2x^2+4x+21

Mathematics
1 answer:
dlinn [17]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

note when x = - 3

(- 3)³ + 2(- 3)² + 4(- 3) + 21 = - 27 + 18 - 12 + 21 = 0

hence x = - 3 is a zero and (x + 3) is a factor and dividing gives

\frac{x^3+2x^2+4x+21}{x+3} = (x + 3)(x² - x + 7)

For zeros equate to zero

(x + 3)(x² - x + 7) = 0

equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x² - x + 7 = 0 ← solve using quadratic formula

x = (1 ± \sqrt{1-28} ) / 2 = (1 ± 3i\sqrt{3} ) / 2

x = \frac{1}{2} ± \frac{3i\sqrt{3} }{2}

zeros are x = - 3, x = \frac{1}{2} ±\frac{3i\sqrt{3} }{2}


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3 years ago
In 3/4 pound of a spice mix there is 5/6 cup of cinnamon how much is it if it is a spice mix contain per pound?
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2 years ago
Help please this is due today
dangina [55]

The experimental probability that in a group of 4 students, at least one of them has brown eyes is 95%.

<h3>What is Experimental Probability?</h3>

Experimental probability is a probability that is determined on the basis of a series of experiments. A random experiment is done and is repeated many times to determine their likelihood and each repetition is known as a trial. The experiment is conducted to find the chance of an event to occur or not to occur.

Here , Favorable Outcome = 19

          Total outcomes = 20

Probability = Favorable Outcome/ Total Outcome

                   = 19 / 20

                   = 95%

Thus, the experimental probability that in a group of 4 students, at least one of them has brown eyes is 95%.

Learn more about Experimental Probability from:

brainly.com/question/15729871

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5 0
1 year ago
Lisa and Beverly had just $5 to spend for an afterschool snack. They could’ve bought 2 hamburgers and 1 carton of milk with no c
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1 dollar and 40 cents.
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2 years ago
En la expresion algebraica x², ¿que indica el número 2 en la base x?
tino4ka555 [31]

Answer:

En la expresión, 2 representa la cantidad de veces que multiplicas x por sí mismo.

**Lo siento si mi español es malo, el inglés es mi primer idioma.

Step-by-step explanation:

8^{2} = 8 × 8 = 64

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