13. If x = 7 is a root of x-3x2 -7x + 21 = 0, use synthetic division to factor the polynomial completely and list all real solutions of the equation. 14. Using the factors (x+5) and (x+2), find the remaining factor(s) of f(x) = x³ + 6x2 + 3x – 10 and write the polynomial in fully factored form 15. Find all zeros of the function f (x ) =( x+2)( x+ 3i ) ( x- 3i ). 16. Find all zeros of the function f(x) = x²(x + 2)(x3 – 216) 17. Find all the real zeros of f(x) = 6x3 + 8x? + 6x + 8 18. Find all the rational zeros of the function f (x) = 2x5 + 3x* – 9x3 – 3x? – 11x – 6 19. Given -5i is a root, determine all other roots of f(x) = x³ + 5x2 + 25x + 125

Q: If x4 −2x3 −12x2 +10x+ 3 = 0 has the roots 1 and −3,

A:

Q: Find the zeros of the polynomial f(x) = 4/3x +5x-23, and verify the relationship between the zeros…

A: we have givenf(x) =43x2 +5x-23for finding zeros of this polynomial f(x) =0

Q: If a third degree polynomial has a lone x-intercept at x a , discuss what this implies about the…

A:

Q: 4. The polynomial equation whose roots are {-1, - ½ and 3} is А. 2х3- Зx2 - 8х-3%3D0 В. х3 - 6х2 - х…

A:

Q: Find a degree 3 polynomial that has zeros -4, 2 and 8 and in which the coefficient of x is-12.…

A:

Q: 4. If x=-4 and x=1 are the roots of x* + 3x' - 3x +3x – 4 = 0, find the other two roots of the…

A:

Q: - Use synthetic division to factor the polynomial x + 3x- 10x - 24 completely if 3 is a zero. AY

A:

Q: 15. If the zeros of the polynomial x²+px +q are double in value to the zeros of 2x²- 5x -3, find p…

A:

Q: 14. Form a quadratic polynomial whose one zero is 8and product of the zeros is -56 15. If the zeros…

A: We have to find out quadratic polynomial

Q: The number of zeros of the polynomial x +3x+2 in z, is: None 4

A: The given polynomial is a 2 degree polynomial  Because the highest power is x is 2  So the zeroes of…

Q: Approximate the roots of the polynomial f(x) = X3 - 7X + 6 using Bolzano method

A:

Q: Find the zeros of f(x) = x² Enter your values separated by a semicolon. Do not include x = in your…

A:

Q: If the result of a polynomial division is 2x 3 − 4x 2 − 5x + 23 x + 2 , make at least three…

A:

Q: 2. If a third degree polynomial has a lone x-intercept at x=a, discuss what this implies about…

A: The x-intercept of a function is the point at which the function touches the x-axis. That is the…

Q: 6. Determine the constant term of the polynomial with integer coefficients of lowest degree with…

A:

Q: If one of the zeroes of the quadratic polynomial f(x) = 4x2 - 8kx - 9 is equal in magnitude but…

A:

Q: Find a polynomial / (x) of degree 4 that has the following zeros. 0, -8, 9, -5 Leave your answer in…

A: Given data: The first zero of the polynomial is x1=0. The second zero of the polynomial is x2=-8 The…

Q: For the remainder of the division of x-2x²+3kx+18 by x-6 to be equal to zero, k must be equal to?

A:

Q: 12. If x=-1 is a root of x + 4x? -x -4 =0, use synthetic division to factor the polynomial…

A:

Q: We want to find the zeros of this polynomial: p(x) = 2x3 + 4x² – 6x

A: You will find the roots of the given polynomial by factorising

Q: The number of zeros of the polynomial x² + 3x + 2 in Zg is: None O 2

A:

Q: 13. What are the roots of the polynomial equation: x3 + 6x2 + 3x – 10 = 0? A. 1, 2 and 5 B. 1, -2…

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

Q: Q3) Write in factor form a 5h degree polynomial whose zeros are +2, -2 and 4 with multiplicity 3

A:

Q: 11. If f(x) = -3x2 - 4x + 1, use synthetic division to evaluate f(4)

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

Q: The term containing the highest power of x in the polynomial f (x) is 6x. One of the roots of the…

A: Given the quadratic polynomial x2-2x+3 is a factor of f(x) and the highest power of f(x) = 3 Let…

Q: Given the polynomial: f (x) = 2x° + mx* – 40x° + nx² + 218x – 168 And that two of the roots are x= 1…

A:

Q: 4. When the polynomial P(x) is divided by (x-2)2 the remainder is 3x - 3. What is the remainder when…

A:

Q: 4. Is it possible for a 6th degree polynomial with real coefficients to have 6 imaginary solutions ?…

A: To explain about the polynomial

Q: Suppose p(x) is a cubic polynomial that shares two of its roots with f (x)=2x² – 5x+3, has the same…

A:

Q: Verify that 3,-1 and -1/3 are the zeros of the cubic polynomial p(x) =3x2-5x2-11x -3 and then verify…

A: Note :- Solved by taking cubic polynomial p(x) = 3x3-5x2-11x -3 ( because in cubic polynomial 'x'…

Q: (4) Find a polynomial that has 1+i and 1- i as zeros.

A: We have to find polynomial

Q: Find the equation of the polynomial with roots √2 and -5i, real coefficients, and passing through…

A:

Q: Find the zeros of the quadratic polynomial f(x) =abx2+(b2-ac) x-bc, and verify the relationship…

A:

Q: If a third degree polynomial has a lone x-intercept at x = a , discuss what this implies about the…

A: Topic : Equations

Q: 42. What is the polynomial equation whose roots are {-2, 2, and 4 of multiplicity 2} A. 2x* - 2x +…

A: As per bartleby guidelines we only give first question answers.

Q: Verify that 3 , -1 , -(1/3) are the zeroes of the cubic polynomial  p(x)=3x3-5x2-11x-3

A:

Q: Find the zeroes of the polynomial x2-3 and verify the relationship between the zeroes and the…

A:

Q: 1. Write the equation to the polynomial with double roots at 3 and 6, that levels off as it passes…

A:

Q: 29. Select the quadratic polynomial with roots –1 and 4. x2 + 3x – 4 x3 – 2x2 – 7x – 4 4x² + 8x + 4…

A:

Q: 7. Find all the zeros of the polynomial: y = 2x* – 5x³ + 10x – 12. - -

A:

Q: 3. Do you agree with the statement that “ cubic functions must have at least 1 x-intercept but not…

A: Given:  To show “ cubic functions must have at least 1 x-intercept but not more than 3". To prove…

Q: If x = -1 is a root of the polynomial 0 = æ³ + 2x2 – 5z – 6. what are the other roots? Ox =-3, x = 2…

A: see next step

Q: 3. If x=-2 is one of the roots of 6x'+11x - 4x -4 = 0, find the other two roots of the polynomial…

A:

Q: Beth claims that if a graph of a polynomial has zeros at (-5,0) and (3, 0), then the factored form…

A:

Q: Find a polynomial f (x) of degree 4 that has the following zeros. -4, 1, -9, 0 Leave your answer in…

A: Polynomial  with zeros -4,1,-9,0 can be written as below :

Q: 23 2. If the result of a polynomial division is 2x3 – 4x2 – 5x + x + 2 make at least three…

A: The result of the polynomial division is, 2x3-4x2-5x+23x+2 Let, f(x)=2x3-4x2-5x+23x+2…

Q: Find a polynomial f(x) of degree 5 that has the following zeros. -4, -1, 6 (multiplicity 2), 0 Leave…

A:

Q: 8. Match the polynomial equation in Column A with the correct rational zeros in Column B. Column A…

A: