5. Find a polynomial with real coefficients that has the zeros without complex numbers.) 4,3i, and -3i. (Write it

Q: ertAim: To find a polynomial formula that satisfies givenigonditions. For each problem, find the…

A: First one answer

Q: A fifth degree polynomial with constant coefficients may have (1) 5 distinct real roots. (II) 3…

A: This question can be solved by using the concept of nature of roots of n degree polynomial.

Q: A polynomial P is given. (a) Factor P into linear and irreducible quadratic factors with real…

A: (a) part Consider the given polynomial  Px=x4+8x2+16 Now, write the polynomial into linear and…

Q: B. Find the zeros/roots and factors of the following polynomial equations: 1. x-42-17x+ 60 =0 Zeros:…

A:

Q: t if the complex number z is a root of the polynomial f(

A:

Q: How many zeros (including all complex zeros counted with multiplicity) does the polynomial shown…

A: Topic:- algebra

Q: The complex zeros of f(x) = x4 + 1 For the function f(x) = x4 + 1:(a) Factor f into the product of…

A: f(x)=x4+1

Q: 29. Select the quadratic polynomial with roots -1 and 4. 22 + 3x – 4 O a3 – 2a? – 7æ – 4 O 4x2 + 8x…

A: It is given that the equation is in quadratic And the two roots of the equations are -1 , 4    This…

Q: 7. Bonus: Prove the following Theorem: The Product and the Sum of the Roots of x² + bx + c = 0. Let…

A:

Q: 1. Use the Factor Theorem, find all the real roots of x- 2x-9x+18=0.

A:

Q: The roots of 6x² +7x + 34 = 0 are: Real and Equal Real and Distinct Complex and Unequal Imaginary…

A: These questions  are related to algebraic operations, we will solve it using given information.

Q: A polynomial P is given. (a) Factor P into linear and irreducible quadratic factors with real…

A: Consider the given: a)Px=x3−5x2+4x−20Px=x2x−5+4x−5Px=x−5x2+4The factor x2+4 is irreducible since it…

Q: 5 Given that 1+5i is a zero of f(x)=x³-3x +28x-26 find the remaining zeros and factor f(x) as a…

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: How many zeros (including all complex zeros counted with multiplicity) does the polynomial shown…

A: Given,            y=x5-1To find: Number of zeros

Q: 5. Find a polynomial with real coefficients that has the zeros 2,3i, and -3i. (Write it without…

A: zeros is given 2, 3i, -3i

Q: The Fundamental Theorem of Algebra states that any polynomial equation of degree n must have exactly…

A:

Q: 5 Given that 1+5i is a zero of f(x)=x'-3x +28x-26 find the remaining %3D zeros and factor f(x) as a…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: -bt -4ac Select TWO that apply. 16. Find the real roots for y= 4x- 8x- 12. Use the quadratlc formula…

A:

Q: 5

A: Given,

Q: B. Find a polynomial equation with integer coefficients that has the following roots. 1, -2, -5 1.…

A: Given that:                         1. 1, -2, -52. ±1, 23. ±2, ±3

Q: A polynomial P is given. P(x) = x4 + 18x2 + 81 (a) Factor P into linear and irreducible quadratic…

A: (a) The given polynomial is Px=x4+18x2+81. Simplify the given polynomial as follows.…

Q: A polynomial P is given. P(x) = x6 − 64 (a) Factor P into linear and irreducible quadratic factors…

A: The given polynomial P is,

Q: A fourth degree polynomial with constant coefficients may have (1) 4 distinct real roots. (1I) 3…

A: Topic:- polynomial

Q: One of the zeros is given for each of the following polynomials. Find the other zeros in the field…

A: We have given one roots of the polynomial x3-4x2+6x-4 is 1-i then  other root will be 1+i since,…

Q: 9. Find the roots of the polynomial equation x-4x +x+26 = 0 O 3+2,-2 O-3+2,-2 O 3±2,2 O -3+2,2

A: Since you have posted multiple question we will answer first problem to solve remaining problems…

Q: A Find the complete set of possible rational roots of the following polynomial equations. 154 2.…

A: To complete the set of possible rational roots.

Q: 17. Find all roots of the polynomial P(x) = x* – x³ – x² - x– 2.

A: This question is about nth root of polynomial

Q: A polynomial is given below. 3x° + 2a – a +7 4. Which statement must be true about this polynomial?…

A: We have to check

Q: 23. If 3 and (3+3) are two of the roots of a third degree polynomial with integer coefficients,…

A: We have to choose the correct answer from the given option according to the given condition

Q: ASK YOUR TEACHER   Find all real and complex zeros of  P(x) = x3 − x2 − 4x − 6.  (Enter your…

A: Given

Q: A polynomial P is given. (a) Factor P into linear and irreducible quadratic factors with real…

A: Factors of the polynomial are values of x for which polynomial turns to be zero. Zeroes of a…

Q: 1. Determine the real zero, and a complex conjugate pair of zeros for the equation below. 5x* – 16x³…

A: Given:      5x4 -16 x3 + 57 x2 + 120 x + 120

Q: 20. Find the roots of the polynomial 2. P(x) = 6x – 12x +78. %3D

A: Given:      Px=6x2-12x+78   This is in the form of quadratic equation ax2+bx+c     Roots of the…

Q: What are all the possible rational roots of the polynomial )= -3r+x-37 1.3 B 1.-1.3.-3 1.-1.2.-2. 3.…

A:

Q: A polynomial P is given. (a) Factor P into linear and irreducible quadratic factors with real…

A: (a) To factor: The polynomial Px=x4+8x2-9 into linear and irreducible quadratic factors with real…

Q: 24. Use the value of the discriminant to determine the number and type of roots of 2x -7x +9= 0-…

A:

Q: Use the value of the discriminant to determine the number and type of roots of 2,2 – 7z + 9 = 0-…

A: Consider the equation, 2x2-7x+9=0 On comparing with the general equation ax2+bx+c=0, the value of…

Q: a) Show that x = 1+2i is a root of p(x) where i = surds(-1). b) By using the fact that p(x) is a…

A: We have to solve given problem:

Q: h(x)%3D³ – g12 5x + 7r

A: We are asked to find the zeros of polynomial.

Q: Every Polynomial with complex coefficients written Can be as the product of linear factors. Enter…

A:

Q: Suppose that R (x) is a polynomial of degree 12 whose coefficients are real numbers. Also, suppose…

A: Given,            Suppose that Rx is a polynomial 12 whose coefficients are real numbers.…

Q: 6. Does there exist a polynomial of degree 4 with integer coefficients that has zeroes i, 2i, 3i and…

A: Complex root must be in conjugate pair

Q: The ________ ________ of ________ states that if f(x) is a polynomial of degree n (n > 0), then f…

A: The ________ ________ of ________ states that if f(x) is a polynomial of degree n (n > 0), then f…

Q: Use complex analysis to prove the formula 2n n 7 7n V 3 n=0

A: It is given that

Q: Use synthetic division and the remainder theorem to find the remainder when f(x) is divided by x-c.…

A:

Q: One of the roots of the polynomial equation 2x^3 + 9x^2 - 33x + 14 = 0 is 2. Find the other roots. *…

A:

Q: Find a polynomial of degree 4 that has the following zeros: 1, -3, -2i.

A: Complex zeros occur in conjugate pairs. Hence, if -2i is one of the zeroes, hence 2i will also be a…

Q: For the given polynomial o find the maximum possible umbers of the positive and the negative roots o…

A: For polynomials with degree greater than 2,we need to find the roots by hit and trial.  Factor out…

Q: 10) If a, b and c are the roots of the polynomialz + 13r- 23 and sum of the roots is 0, then find…

A: The detailed answer is given below Thank you

Q: Find all real and complex zeros of  P(x) = x3 − 2x2 − 6x − 8.  (Enter your answers as a…

A: To find the all real and complex zeroes