Question

Find a 3rd degree polynomial with real coefficients with zeros 3 and 4i. p(x) = (x - 3)^2(x - 4) p(x) = (x + 3)^2(x + 4) p(x) = (x - 3)(x - 4)^2 p(x) = (x - 3)(x^2 + 16) Question 25 (2.5 points) A polynomial with real coefficients has a zero of -6 - 2i. Which one of the following must also be a zero of the polynomial? 6 - 2i 2i 6 + 2i -6 + 2i

          Find a 3rd degree polynomial with real coefficients with zeros 3 and 4i.
p(x) = (x - 3)^2(x - 4)
p(x) = (x + 3)^2(x + 4)
p(x) = (x - 3)(x - 4)^2
p(x) = (x - 3)(x^2 + 16)
Question 25 (2.5 points)
A polynomial with real coefficients has a zero of -6 - 2i. Which one of the following must also be a zero of the polynomial?
6 - 2i
2i
6 + 2i
-6 + 2i

Find a 3rd degree polynomial with real coefficients with zeros 3 and 4i.
p(x) = (x - 3)^2(x - 4)
p(x) = (x + 3)^2(x + 4)
p(x) = (x - 3)(x - 4)^2
p(x) = (x - 3)(x^2 + 16)
Question 25 (2.5 points)
A polynomial with real coefficients has a zero of -6 - 2i. Which one of the following must also be a zero of the polynomial?
6 - 2i
2i
6 + 2i
-6 + 2i

Added by Manuela P.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Supreeta N

03/21/2023

Step 1

Since the coefficients are real, the complex conjugate of 4i, which is -4i, must also be a zero of the polynomial. Now, we have three zeros: 3, 4i, and -4i. Show more…

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Find a 3rd degree polynomial with real coefficients with zeros 3 and 4i; Question 25 (2.5 points) Which one of the following polynomials with real coefficients has a zero of 6 + 2i? a) 2i b) 0 c) 2i d) 6 + 2i