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garri49 [273]
3 years ago
5

Nancy and seven of her friends shared the $101.20 dinner bill equally. How much did each person pay?

Mathematics
1 answer:
Alik [6]3 years ago
4 0
12.65. Divide 101.20 by 8
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1) When the polynomial P(x) is divided by x+5, the remainder is 3. Which of the following is definitely true?
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1) The definitely true for the statement is b) P(-5) = 3.

2) The three roots are 5, 3 + 4i, and 3 - 4i. Option D is correct.

<h3>What is the remainder theorem for polynomials?</h3>

If there is a polynomial p(x), and a constant number 'a', then

\dfrac{p(x)}{(x-a)} = g(x) + p(a)

where g(x) is a factor of p(x)

Given;

1) When the polynomial P(x) is divided by x+5, the remainder is 3.

If a polynomial P(x) is divided by (x-a), then the remainder is P(a).

If the polynomial P(x) is divided by (x+5), then the remainder will be P(-5).

So, P(-5) = 3

Therefore, the definitely true for the statement is b) P(-5) = 3.

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The complex roots always exist in conjugate pairs so,

3 + 4i and 3 - 4i

Thus, the three roots are 5, 3 + 4i, and 3 - 4i. Option D is correct.

Learn more about polynomial :

brainly.com/question/16399195

#SPJ1

3 0
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