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MrRissso [65]
3 years ago
11

Select all of the following that are potential roots of p(x) = x4 − 9x2 − 4x + 12?

Mathematics
2 answers:
alexandr1967 [171]3 years ago
3 0

Answer: roots are 2, -2, -3, and 3

Step-by-step explanation:

I'm presuming the equation is x^4-9x^2-4x+12

so first group the equation by factoring out the GCF of the first two terms and last two terms

x^2(x^2-9)-4(x-3)

x^2(x-3)(x+3)-4(x-3)

(x^2-4)(x-3^2)(x+3)

(x-2)(x+2)(x+3)(x-3)^2

So

Mashcka [7]3 years ago
3 0

Answer:

+/- 2,+/- 4,+/- 3,+/- 6,+/- 12

B C F G H

Step-by-step explanation:

ROOTS OF 12 -- 2, 3, 4, 6

_____________________

ROOTS OF 1 -- 1

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3 years ago
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2 years ago
Use vieta's theorem to solve the problems.
Mnenie [13.5K]

Using Vieta's Theorem, it is found that c = 72.

<h3>What is the Vieta Theorem?</h3>
  • Suppose we have a quadratic equation, in the following format:

y = ax^2 + bx + c

  • The roots are p and q.

The Theorem states that:

p + q = -\frac{b}{a}

pq = \frac{c}{a}

In this problem, the polynomial is:

x^2 - 17x + c

Hence the coefficients are a = 1, b = -17.

Since the difference of the solutions is 1, we have that:

p - q = 1

p = 1 + q

Then, from the first equation of the Theorem:

p + q = -\frac{b}{a}

1 + q + q = 17

2q = 16

q = 8

p = 1 + q = 9

Now, from the second equation:

pq = \frac{c}{a}

72 = c

c = 72

To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978

6 0
2 years ago
What is the answer for this question
Ugo [173]

Answer:

1 - 1/10

Step-by-step explanation:

As strange as it may seem, the easiest way to answer this question is to calculate the probability of selecting an elephant first and then to subtract this probability from 1:

Adding up the Numbers of animals, we get 12+4+3+11, or 30.  The probability of selecting an elephant is thus 3/30, or 1/10.

Thus, the probability of NOT selecting an elephant is 1 - 1/10 (Answer A).

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v=5880 inches cubed
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3 years ago
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