Answer:
Step-by-step explanation:
<u>Given information</u>:
- Polynomial function with real coefficients.
- Zeros: 0, 2i and (3+i).
For any complex number , the complex conjugate of the number is defined as .
If f(z) is a polynomial with real coefficients, and z₁ is a root of f(z)=0, then its complex conjugate z₁* is also a root of f(z)=0.
Therefore, if f(x) is a polynomial with real coefficients, and 2i is a root of f(x)=0, then its complex conjugate -2i is also a root of f(x)=0.
Similarly, if (3+i) is a root of f(x)=0, then its complex conjugate (3-i) is also a root of f(x)=0.
Therefore, the polynomial in factored form is:
As we have not been given a leading coefficient, assume a = 1:
Expand the polynomial:
The slope is zero beacuse there is no x
after solving you get
6y = 15
y = 15/6
Upon graphing this a straight line is seen with zero slope
Answer:
Hydrogen = 13.4
Oxygen = 85.76
Carbon = 26.8
Step-by-step explanation:
H= 13.4
When you multiply by 1/10 all you have to do is move the decimal point to the LEFT.
So... 134←. = 13.4
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O= 85.76
134×=85.76
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C= 26.8
134×=26.8
F(x) = 2x² + 7x - 5
g(x) = -8x² - 3x + 5
g(x) + f(x) = -8x² - 3x + 5 + 2x² + 7x - 5 = - 6x² + 4x
Answer: -6x² + 4x