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Andrei [34K]
3 years ago
9

PLEASE HELP! 100 POINTS PLUS BRAINLIEST!! ONLY REAL ANSWERS PLS!!

Mathematics
2 answers:
julsineya [31]3 years ago
7 0

Answer:

See below.

Step-by-step explanation:

2a.

If a polynomial equation with real coefficients has imaginary roots, then the roots must be pairs of complex conjugate roots.

If -4i is a root, then 4i must be a root, too.

2b.

The roots of a polynomial equation can be written as first degree binomial factors, which when multiplied together will give you the polynomial.

For roots <em>a</em> and <em>b</em>, the first degree binomials are <em>x - a</em> and <em>x - b</em>.

Here the roots are -4i and 4i, so the binomials are x + 4i and x - 4i. Their product will give us the quadratic polynomial.

(x + 4i)(x - 4i) =

This is the product of a sum and a difference wuich gives the difference of two squares.

= x^2 - (4i)^2

= x^2 - 16(-1)

= x^2 + 16

SIZIF [17.4K]3 years ago
6 0

Least possible degree of polynomial = 5

Step-by-step explanation:

Here we have solutions -5, 1 + 4i, and -4i.

The solutions are 1 real and 2 imaginary.

Real solutions may or may not be with pair.

We know that complex solutions comes with two solutions a + ib and a - ib

So the all solutions of the polynomial are

 -5 , 1+4i, 1-4i, -4i, and 4i

So minimum 5 solutions are there for this polynomial.

Polynomial with 5 solutions are of degree 5.

Least possible degree of polynomial = 5

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Luisa is avid Horseback riding. This year, she purchased a new Safety riding helmet for $125 and continues taking lessons at $20
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4 years ago
For the ratio 28 : 36, find an equivalent with both terms greater tan 6 less than 10
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3 years ago
Calculate the value of <br> x<br> .
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5 0
3 years ago
Evaluate.
kogti [31]
9/10 - 2/5 + 1/3

= 5/6 (Decimal:  0.8333333)


Subtract:
9/10 - 2/5 = 9/10 - 2 . 2/5 . 2
= 9/10 - 4/10 
= 9 - 4/10 
= 5/10 
= 1/2

The common denominator you can calculate as the least common multiple of the both denominators LCM ( 10, 5) = 10


Add: 1/2 + 1/3 = 1 . 3/2 . 3 + 1 . 2/3 . 2 
= 3/6 + 2/6 
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= 5/6



The common denominator you can calculate as the least common multiple of the both denominators LCM ( 2, 3) = 6

Answer in Lowest term is:  5/6 or Decimal:  0.8333333




Hope that helps!!!




7 0
3 years ago
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