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svet-max [94.6K]
3 years ago
14

Consider the polynomial equation x(x - 3)(x + 6) (x-7) -0. Which of the following are zoros of the

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0

Answer:

The zeros are : 0, 3, -6, 7.

Step-by-step explanation:

Zeros of a polynomial is the values at which the polynomial becomes zero. They are also called the roots of the polynomial.

When (x - a)(x - b) = 0, we can say that either (x - a) = 0 or (x - b) = 0. At least one zero renders the whole equation to be zero.

Now, we are given that: x. (x - 3). (x + 6). (x - 7) = 0

⇒ To make the equation zero, at least one of the following should be true:

x = 0

x - 3 = 0  ⇒ x = 3

x + 6 = 0 ⇒ x = -6

x - 7 = 0 ⇒  x = 7

Therefore, x can take any one of the above values and that would make the polynomial zero.

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Answer: Choice C

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Explanation:

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In the first row, we have HHH to signify three heads. This shows up 1 time out of 8 outcomes total (each row is a different outcome). The probability of getting HHH is 1/8.

In the last row, TTT means we got three tails. Like with HHH, it only shows up once out of eight times, so the probability of getting TTT is 1/8 as well.

Therefore, both HHH and TTT have the same probability. This is because both sides of the coin have equal chances to land on. If the coin was more biased toward heads for example, then HHH and TTT would have different probabilities.

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