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)?

Name: Solved: 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)? - MathMaster
Brand: MathMaster
Rating: 4.9 (281 reviews)

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

110 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: Find the radius of a circle given its equation: x^2 + y^2 = r^2. (

Math question: What are the characteristics of a parabola given the equation 𝑦 = ax^2? Describe its vertex, axis of symmetry, direction of opening, and whether it is symmetric or not.

Question: Calculate the standard deviation of the dataset {15, 20, 18, 25, 22}?

New questions in Mathematics

a ferry travels 1/6 of the distance between two ports in 3/7 hour. The ferry travels at a constant rate. At this rate, what fraction of the distance between the two ports can the ferry travel in one hour.

P is a polynomial defined by P(x) = 4x^3 - 11×^2 - 6x + 9. Two factors are (x - 3) and (x + 1). Rewrite the expression for P as the product of linear factors.

find all matrices that commute with the matrix A=[0 1]

78 percent to a decimal

Log5 625

determine the polynomial F of degree 2 that interpolates. f at points (0;1) (2;5) (4;6). calculate F(0.8). Note: Using the polynomial expression with difference operator.

6-35 A recent study by an environmental watchdog determined that the amount of contaminants in Minnesota lakes (in parts per million) it has a normal distribution with a mean of 64 ppm and variance of 17.6. Assume that 35 lakes are randomly selected and sampled. Find the probability that the sample average of the amount of contaminants is a) Greater than 72 ppm. b) Between 64 and 72 ppm. c) Exactly 64 ppm. d) Greater than 94 ppm.

During a fishing trip Alex notices that the height h of the tide (in metres) is given by h=1−(1/2)*cos(πt/6) where t is measued in hours from the start of the trip. (a) Enter the exact value of h at the start of the trip in the box below.

Equine infectious anemia (EIA) is considered the main infectious disease in Brazilian equine farming, for which there is no effective vaccine or treatment. It is caused by a retrovirus of the genus Lentivirus, which affects horses, donkeys and mules and is transmitted in nature mainly by hematophagous insects of the genus Tabanidae. Researchers analyzed the records of 9,439 equids from Acre, submitted to the agar gel immunodiffusion test (AGID) for equine infectious anemia (EIA), between 1986 and 1996. Of these, 6199 tested positive for equine infectious anemia (EIA) . Knowing that the age of AIE-positive horses follows a Normal distribution with a mean of 5 years and a standard deviation of 1.5 years, determine the expected number of AIE-positive horses in the Acre sample that will be aged less than or equal to 3 years. ATTENTION: Provide the answer to exactly FOUR decimal places.

Two minus log 3X equals log (X over 12)