3+5i Write the express in the -5+6i form a + bi after rationalizing its denominator.

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

A: First one answer

Q: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. 1, 4i s() - 0 %3D

A: We are asked to find a polynomial f(x) of degree 3 with real coefficients and the following zeroes…

Q: 18. State the number of positive real zeros, negative real zeros, and complex zeros f(x) = -7x +…

A: Given function is fx=-7x4+10x3+5x+5

Q: 3) Solve all zeros, complex and real: x* + x³ + 3x? + 5x – 10 = 0 i) List all possible rational…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 12) Review: Find zeros of the polynomial f (x) = x³ – x² – 19x – 5. (Refer to Ch 5.5) a) Find all…

A: Givenf(x)=x3-x2-19x-5(a)-Set the given equation equal to zerox3-x2-19x-5=0x-5x2+4x+1=0x-5=0  and…

Q: Write a function that meets th egiven conditions.

A:

Q: Let a, be the leading coefficient. (a) Find the complete factored form of a polynomial with real…

A: We have given a polynomial f(x) with degree:2 Leading coefficient: an=1 Zeros:9i and -9i Let (a)…

Q: n=3 -2and 6+5i are zeros f(-1)=74 Find an nth degree polynomial with real coefficients satisfying…

A: Given zeros of the polynomial, -2 and 6+5i And n = 3

Q: Given an expression f(x) using only Real-valued coefficients, having degree 4, passing through the…

A:

Q: 7. 2. Simplify the complex fraction: x+1 x -1 3. Let f(x)=x² - 2x2 _3x42 Factor f(x) completely.…

A: Note: students asked for questiin no 3 so I solved that part. As per q a guidelines.

Q: EXAMPLE 2.0 FIND ALL THE ROOTS OF x. (3275°- j3794)2 - 4e [(12- 42° + el30") - (2 - j5)1) (7415° +…

A:

Q: 9. Two zeros of f(x) = x* – 7x³ +x² – 63x – 72 are 3i and 8. In what form are the other roots? A. 1…

A: Topic = Polynomial

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: 5. Use long division to do this problem. Specify the quotient and remainder (10x -x- 15) (2x – 3)…

A:

Q: Find all real and complex zeros of  P(x) = x3 − 7x2 − 16x − 18.

A:

Q: 5

A: Given,

Q: f(x) = -9x³ – 5x² – 81x – 45 has 3i as a root. Give all of the roots of f in a comma-separated list,…

A:

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: . Prove that the equation r – x²+2x +3 = 0 has at least one real root. State the theorems or the…

A:

Q: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros 1,4i

A: Given data: The first root of the cubic polynomial is a=1. The second root of the polynomial is…

Q: f (z) = -7z4 + z2 – 25

A: This equation is about the fundamental theorem of algebra. In which for the equation shown identify…

Q: Let a, be the leading coefficient. (a) Find the complete factored form of a polynomial with real…

A: Let's find.

Q: EXAMPLE 5 Using Square Roots of Negative Numbers Evaluate (V12 – V-3)(3 + V-4), and express the…

A: The given expression is, 12--33+-4 On simplifying the terms, we get…

Q: 5. Graph the function and find the domain and range. 10 1 x + 6 x < -6 x +4 -6<x < 2 f(x) = 4 5 --x…

A:

Q: Find a polynomial P(x) with real coefficients having a degree 4, leading coefficient 2, and zeros…

A: Since you have asked multiple questions in single request.so we will be answering only first…

Q: A quintic polynomial (degree 5) P(x) has rational coefficients. If -3, v2, and 1+i, are roots of…

A:

Q: Let an be the leading coefficient. a) Find the complete factored form of a polynomial with real…

A: The complete factored form of a polynomial of degree n with leading coefficient an and zeros r1,…

Q: A degree 2 polynomial p has imaginary zeros of x = 3i and x = -3i. It has a leading coefficient of a…

A:

Q: 20. Find the rational roots of x +5x+7x-3x-10 0. O-2, 1 O2, 1 O-2, -1 O2, -1 21. Find all the zeroes…

A: For (20), Answer:

Q: Find all complex zeros of the given polynomial function, and write the polynomial in completely…

A: The given function is fx=3x3+5x2-6x-10. Factor the polynomial as follows:…

Q: Use secant method to find the root of x^3 –x^2 – 3x – 3 with two initial points xa=3 and xb=2 and ∈=…

A: We have f(x)=x3-x2-3x-3 iteration formula for secant method is: xn+2=xn-f(xn)⋅xn+1-xnf(xn+1)-f(xn)…

Q: Let a, be the leading coefficient. (a) Find the complete factored form of a polynomial with real…

A:

Q: For the given polynomial o find the maximum possible numbers of the positive and the negative root.…

A:

Q: 72-74 Real and Non-Real Coefficients So far, we have worked only with polynomials that have real…

A: Consider p(x)=x2-1+ix+2+2i. (a) Now…

Q: h(x)%3D³ – g12 5x + 7r

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

Q: 3

A:

Q: Solve:a. List all possible rational roots of 32x3 - 52x2 + 17x + 3 = 0.b. The graph of f(x) = 32x3 -…

A: A rational zero theorem: If the polynomial Px=anxn+an-1xn-1+...+a0 has integer coefficient, then…

Q: Find a cubic polynomials in standard form with real coefficients, having the zero 1 and 3i. Let the…

A:

Q: nd a polynomial of degree 4 with integer coefficient and zeros i and 3-i (express your answer etored…

A:

Q: using tbe bairstow Method to find a complex root for f(x)=50-8x^3-62x+x^4,where (x^2) is…

A:

Q: Calculate the following limits using the factorization formula

A:

Q: a) find the number of zeros. Explain. Using the Descarte's Rule of Signs to determine the number of…

A: Given

Q: Find an nth-degree polynomial the real zeros and the given fur n 3B 3 and 5i are zeros; f (2) = -87

A:

Q: b) Find values of k such that x2 + (k +1)x+4 is positive definite One of the roots of x2- (k + 1)x +…

A:

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

A:

Q: 8) Find all complex zeros of the following. Then write f (x) in fully factorec form. f (x) = x5 +…

A:

Q: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. 1, 4i

A: Given  two zeros 1 and 4i. Complex zeros occurs in pairs 4i is one of the zero . -4i is also a zero…

Q: Find all zeros of f(x) = 9x – 27x2 – 78x - 60. Enter the zeros separated by commas, put complex…

A:

Q: (a) Find all the zeros of the polynomial function P(x)=x² +6.x+ 20. Use a graph to help get started.…

A: Explanation of the answer is as follows