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nadezda [96]
3 years ago
6

Find a degree 3 polynomial with real coefficients having zeros 1 and 2-2i and a lead coefficient of 1. Write P in expanded form.

Be sure to write the full equation, including P(x)=.
Mathematics
1 answer:
amm18123 years ago
4 0

Answer:

Step-by-step explanation:

complex roots always occur in pairs.

roots are 1,2-2i,2+2i

P(x)=a(x-a)(x-b)(x-c)

P(x)=1(x-1)[x-(2-2i)][x-(2+2i)]

=1(x-1)[(x-2)+2i][(x-2)-2i]

=(x-1)[(x-2)²-(2i)²]

=(x-1)[(x-2)²-4i²]

=(x-1)[x²-4x+4-4(-1)]

=(x-1)[x²-4x+4+4]

=(x-1)[x²-4x+8]

=x³-4x²+8x-x²+4x-8

=x³-5x²+12x-8

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✨PLEASE HELP✨DUE SOON✨
photoshop1234 [79]

Answer:

y = -30

Option A

Step-by-step explanation:

y = -2x - 10

y = -5x + 20

We just need to substitute the values of y.

We have to equate both the equation.

-2x -10 = -5x + 20

-2x + 5x = 20 + 10

3x = 30

x = 10

Plug x as 10 in any one of the equation

Let's take the first equation

y = -2x  - 10

y = -2(10) - 10

y = -20 -10

y = -30

4 0
3 years ago
Which solid figure has the following net? Pentagonal prism hexagonal prism hexagonal pyramid pentagonal pyramid
mars1129 [50]

ANSWER:

Pentagonal prism.

EXPLANATION:

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5 0
3 years ago
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Dvinal [7]

Answer:

325 cm^3

Step-by-step explanation:

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A spherical marble with a radius of 1 cm. has a mass of 10 grams. What is the density of the marble?
kow [346]

Density of any object of found by dividing its Mass by its Volume

So firstly we have to find the Volume

Volume of sphere = \frac{4}{3} \pi r^{2}

where r is radius

So lets find the Volume

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Now mass = 10 grams

So density = Mass/Volume = \frac{10}{\frac{4}{3} \pi}= \frac{30}{4\pi} rho

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