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aev [14]
3 years ago
7

Find a third-degree polynomial equation with rational coefficients that has roots –4 and 2 + i

Mathematics
1 answer:
ella [17]3 years ago
8 0
If it has rational coefients and is a polygon
if a+bi is a root then a-bi is also a root

the roots are -4 and 2+i
so then 2-i must also be a root


if the rots of a poly are r1 and r2 then the factors are
f(x)=(x-r1)(x-r2)

roots are -4 and 2+i and 2-i

f(x)=(x-(-4))(x-(2+i))(x-(2-i))
f(x)=(x+4)(x-2-i)(x-2+i)
expand
f(x)=x³-11x+20
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Answer:

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Step-by-step explanation:

7 0
2 years ago
What are the characteristics of the graph of the inequality x ≤ -8?
Mumz [18]

2  Answers:

Choice C) It will use a closed circle

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=========================================================

Explanation:

The inequality x \le -8 means that x = -8 or x < -8. Since we're including -8 itself, which is the endpoint, we'll use a closed circle. In contrast, an open circle would be used if the inequality was x < -8 to exclude the endpoint -8.

The ray is to the left because we're visually describing all values smaller than -8. Such example values are -10 and -22 as these values are to the left of -8 on the number line.

In short, the graph consists of a closed circle at the endpoint -8 and the arrow is to the left. We can say the shading is to the left.

6 0
3 years ago
Read 2 more answers
David wants to buy a game system . The game cost $25 and it is 1/5 of the price of the game system .how much does the game syste
Scorpion4ik [409]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
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9514 1404 393

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