Question

Suppose I tell you that one root of a polynomial function, f(x), is 4+3i . What must also be a root of f(x)?

281

likes

1404 views

Answer to a math question Suppose I tell you that one root of a polynomial function, f(x), is 4+3i . What must also be a root of f(x)?

$Expert avatar$

Eliseo

4.6

108 Answers

1. Given that $4+3i$ is a root.
2. For polynomials with real coefficients, complex roots always appear in conjugate pairs.
3. Therefore, the complex conjugate $4-3i$ must also be a root.

Answer:

4-3i

Frequently asked questions (FAQs)

Math question: What is the slope-intercept equation of a line with a slope of 3/4 and a y-intercept of -2? (

What is the variance of the numbers 3, 7, 2, 5, 1, 4, and 6?

What is the average number of movies watched per week by a group of friends? (Show your work)

New questions in Mathematics

a to the power of 2 minus 16 over a plus 4, what is the result?

10! - 8! =

5/8 x 64

two particles start at the origin and move along the x axis. for 0 <= t <= 10, their respective position functions are given by x1 = cos(t) and x2 = (e^-3t) + 1. for how many values of t do the particles have the same velocity?

Find the equation of the normal to the curve y=x²+4x-3 at point(1,2)

Determine the correct value: A company knows that invoices pending collection have a normal distribution with a mean of $1.65 million, with a standard deviation of $0.2 million, then: The probability that an invoice pending collection has an amount that is within more than 2 deviations below the mean, is:

I) Find the directional derivative of 𝑓(𝑥, 𝑦) = 𝑥 sin 𝑦 at (1,0) in the direction of the unit vector that make an angle of 𝜋/4 with positive 𝑥-axis.

Determine the equations of the lines that pass through the following points P1 (2;-1) and p2 (4;-1)

Find the root of x^4-10x^ 5=0 using Newton's method, with a precision of the smallest positive root.

Suppose 50% of the doctors and hospital are surgeons if a sample of 576 doctors is selected what is the probability that the sample proportion of surgeons will be greater than 55% round your answer to four decimal places

12(3+7)-5

Task 1 angel has 3 quarters 3/8 of a tank of gasoline and Miguel 7/8, who has more gasoline? number line on number line

Suppose you have a sample of 100 values from a population with mean mu = 500 and standard deviation sigma = 80. Given that P(z < −1.25) = 0.10565 and P(z < 1.25) = 0.89435, the probability that the sample mean is in the interval (490, 510) is: A)78.87% B)89.44% C)10.57% D)68.27%

A person decides to invest money in fixed income securities to redeem it at the end of 3 years. In this way, you make monthly deposits of R$300.00 in the 1st year, R$400.00 in the 2nd year and R$500.00 in the 3rd year. Calculate the amount, knowing that compound interest is 0.6% per month for the entire period. The answer is 15,828.60

If A and B are any events, the property that is not always true is: a) 0 ≤ 𝑃(𝐴 ∩ 𝐵) ≤ 1 b) 𝑃(Ω) = 1 c) 𝑃(𝐵) = 1 − 𝑃(𝐵𝑐) d) 𝑃(∅) = 0 e) 𝑃(𝐴 ∪ 𝐵) = 𝑃(𝐴) + 𝑃(𝐵)

cube root of 56

7- A printing company found in its investigations that there were an average of 6 errors in 150-page prints. Based on this information, what is the probability of there being 48 errors in a 1200-page job?

x²-7x+12=0

The perimeter of a rectangular rug is 42 feet. The width is 9 feet. What is the length?

97,210 ➗ 82 division

Suppose I tell you that one root of a polynomial function, f(x), is 4+3i . What must also be a root of f(x)?

Answer to a math question Suppose I tell you that one root of a polynomial function, f(x), is 4+3i . What must also be a root of f(x)?

You might be interested in