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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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In a triangle the measure of the first angle is 24 degrees more than the second angle. the measure of the third angle is four ti
Leona [35]

The greatest angle in the given triangle is 104 degrees.

<h3>What is a triangle?</h3>
  • The polygon with 3 sides, three vertices, and three angles is known as a triangle.
  • A triangle's overall number of degrees is always 180 degrees.

Given:

  • Let, the second angle has a measurement of x degrees.
  • The first angle's measurement is 24 degrees greater than the second angle's measurement.
  • As a result, the first angle is (24+x) degrees.
  • The third angle is four times as large as the second.
  • As a result, the third angle has a measure of 4x.

So,

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As a result, the second angle has a measurement of 26 degrees.

The first angle's measurement is now 24 degrees greater than the second angle's measurement.

Now,

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As a result, the first angle has a measure of 50 degrees.

The third angle is now four times the size of the second angle.

So,

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Therefore, the greatest angle in the given triangle is 104 degrees.

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If the quadratic formula is used to solve 2x(x + 5) = 4, what are the solutions? {-1/2, -9/2}
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X²+bx=c
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2x(x+5)=4
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if b=-1/2 and c=-9/2
x= {1/2+√[(1/2)²+4*(-9/2)]}/2


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The height of a cone is 10 inches and the radius of the cone is 4 inches. What is the approximate volume golf the cone?
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Answer:

V = 167.55 inches^3

Step-by-step explanation:

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I hope that is useful for :)

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