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nikklg [1K]
2 years ago
7

A polynomial function upper P left parenthesis x right parenthesis with rational coefficients has the given roots. Find two addi

tional roots of upper P left parenthesis x right parenthesis equals 0. i and 7 + 8i
Mathematics
1 answer:
mylen [45]2 years ago
5 0

Given that a polynomial function P(x) has rational coefficients.

Two roots are already given which are i and 7+8i,

Now we have to find two additional roots of P(x)=0

Given roots i and 7+8i are complex roots and we know that complex roots always occur in conjugate pairs so that means conjugate of given roots will also be the roots.

conjugate of a+bi is given by a-bi

So using that logic, conjugate of i is i

also conjugate of 7+8i is 7-8i

Hence final answer for the remaining roots are (-i) and (7-8i).

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Answer:

I don't think the answer exist

Step-by-step explanation:

for y=6x

when y=0, x=0 and when x=0, y=0

hence, (x,y)=(0,0)

for y=x+6

when y=0, x+6=0, x=-6 and when x=0, y=6

hence (x,y) = (-6,6)

for y=x^2+6

when x=0, y=6 and when y=0,

x^2+6=0

subtracting 6 from both sides

x^2=-6

take the square root of both sides and get

x=+ or -sqrt(-6)= + or - (2.45i)

i.e. x=+2.45i or x=-2.45i these are complex roots anyway, and its out of point.

for y=2x+6

when x=0, y=6 and when y=0,

2x+6=0,

2x=-6,

x=-3

the coordinates give (x,y)=(-3,6)

conclude....

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3 years ago
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No

Step-by-step explanation: The reason -6.0 isn't that same as 6 is because -6.0 is negative and 6 is positive

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Please understand the explanation
aivan3 [116]

<em>answer =  12.56 \: square \: km\\ radius = 4km \\ area \: of \: quarter \: circle =  \frac{\pi {r}^{2} }{4}  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =  \frac{3.14 \times  {4}^{2} }{4}  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =  \frac{3.14 \times 16}{4}  \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 12.56 \: square \: km \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment</em>

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$0.14 per ounce

Step-by-step explanation:

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