A. Complete the table below. Verify that the given numbers in the last column of the table are rational roots of the corresponding polynomial equation. Polynomial Equation Laading Roots Constant Coelicient Term 8. x-2x-15x+ 8x2+ 68x+ 48 0 9. 2- 9x- 9x + 73x -93x+36 0 10. 12x-17x-78x + 191xa-144x + 36 0

Q: If it is given that -2 – 3i is one of the roots of the polynomial z3 + 9z2 + pz + 65 = 0 , find b)…

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Q: 47. For what value of k will the polynomial function f(x)=x²+6x² +kx -4 have the same remainder when…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: B. Find the integral zeros of the following polynomial equations. 1. x-19x - 30 = 0 2. x + 5x2 - 2-…

A: we solve this problem using synthetic division, look at step 2

Q: A fourth degree polynomial equation is shown below. (4x2 - 8x - 5) (3x² – 7x-6)=0 Which of the…

A: 4x2-8x-53x2-7x-6=0

Q: 3. List all the possible rational roots of the polynomial. p(x) = 2x5+ 21x-42x +5x3 + 93x2-7x + 50…

A: Explanation of the solution is given below...

Q: Solve the following polynomial equation by grouping and factoring. 16y - 25y = 0 Enter the exact…

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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: The cubic polynomial shown below has zeroes only at x= -3 and x = 5 and passes through the point (2,…

A: To find y value

Q: The graph of f(x) = 6x – 19x? + 16x – 4 is shown in the figure. f(x) = 6x - 19x + 16x - 4 y 1+ -1…

A: Given: f(x)=6x3−19x2+16x−4

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

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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…

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Q: Find a polynomial (x) of degree 4 that has the following zeros. 7, -6, 0, -3 Leave your answer in…

A: Given Zeros of the 4th degree  polynomial are  7,-6, 0 and -3. Note: If a, b, c and d are the zeros…

Q: 1. Find the zero's (aka roots) of the polynomial function and state the multiplicity of eac (i) (2.x…

A: Put polynomial =0

Q: determine whether  the following numbers are roots of the polynomial equation P(x) = 0, P(x) =2x^3 -…

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Q: 3. Find the real roots of the following rational equations. – 7x a. 9x + 11 -12=1 9x +11 X-1 x+2…

A: Given, (a) -7x9x+11 -12 = 1x  (b) x-1x+2 =3x+85x-1   We have to find the real roots of given…

Q: H.W:- find the root of the polynomial below:- 5 x³+ 4x1-3x³+2x²+x+1=0

A: The roots of a polynomial are those values of the variable that cause the polynomial to evaluate to…

Q: C. Pick the correct roots/zeros in the following polynomial equations: 1. x-7x+ 6 0 (6, -1, 2 1,…

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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: From the given information find the remainig roots of the polynomial. E(x)=x+4x³+2x²+20x-15, and one…

A: The objective is to find the remaining roots of the given polynomial

Q: Find a polynomial of degree 3 that has zeros of 3,-4, and 5, and where the coefficient of x2 is 8. O…

A: Given that the zeros are 3, -4 and 5. So the factors of the polynomial is (x-3), (x+4) and (x-5)…

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: 6. Suppose the polynomial function has the given root. Find the other roots (a) f(x) = 2r3 – 4x2 –…

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Q: Given that the polynomials has the given roots, find the other roots.   1. F(x)= x^3+5x^2-2x-10.…

A: As you have asked a question containing multiple subparts and not mentioning which subparts to be…

Q: 2) x- 7メ r Sx3 +93 ×2 イ2x-72=0 R) x5-2x4 -15x°t 10×*+イX-18=0

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Q: Which of the following numbers is not a potential rational zero of the polynomial function -p(x) =…

A: The given question is solved below.

Q: 1 is a zero of the polynomial P(x)= x³ – 3x* + 7x³ – 13x² + 12x – 4 of multiplicity (а) 3 (b) 5 (c)…

A: Let's find x value.

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: If alpha and beta are zeroes of the quadratic polynomial x2 -6x + y. Find the value of the of y if…

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

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Q: determine whether the given constant is a solution to the given polynomial equation.

A: The given polynomial equation is  2x4-4x3+3x+18 = 0 ....(1) Let P(x) = 2x4-4x3+3x+18 Plug in x = 3…

Q: Solve the following polynomial equation by grouping and factoring.   25y^3−36y=0   Enter the…

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Q: Solve the following polynomial equation by grouping and factoring. 36y³ – 49y = 0 Enter the exact…

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Q: Find ALL of the zeros of the polynomial f(x) = 27x – 8. You will need to use both factoring and the…

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Q: 1. Use what you have learned to solve the following polynomial equation by either completing the…

A: To solve given polynomial equation: Here, By using the quadratic formula, ax2+bx+c=0 x = -b…

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

A: Write in factor form

Q: Solve the following polynomial equation by grouping and factoring.   4y3−9y=0   Enter the exact…

A: Given a polynomial equation,

Q: Find a polynomial equation with real coefficients that has t 8, 9-i The polynomial equation is

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

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Q: Suppose that a polynomial equation has the following six roots: -4, -2, 1 + iv2, 1 - iv2, 2, and 4.…

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Q: If it is given that -2 – 3i is one of the roots of the polynomial z + 9z4 + pz + 65 = 0, find a) the…

A: Put -2-3i in place of z and compare.

Q: For a polynomial equation P(x) = 0, if P(x) is not factorable, then P(x) = 0 has no real roots.…

A: For a polynomial equation P(x) = 0, if P(x) is not factorable, then P(x) = 0 has no real roots.

Q: 5.) 4x 1+12 x_ 1ox?_{5 x-18=0 |

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: 8. Find the sum of all the zeros of the polynomial f(x) = x + 2x2-5x-6 O -5 -2 0. 2 6

A: Given equation is fx = x3+2x2-5x-6Comparing it with ax3+bx2+cx+d = 0a = 1, b = 2, c = -5, d = -6

Q: Show that the cubic polynomial p(x) = ax3 + bx2 + cx + d has exactly one point of inflection (x0,…

A: Given Data The cubic polynomial equation is p(x)=ax3+bx2+cx+d. The equation is p(x)= x3-3x2+2.…

Q: Let z1 and z2 be the roots of the polynomial p(z) = 2z2 + 4az + 1862, where a, b e C and b # 0. Show…

A: We have to solve given problems:

Q: Which of the following can be an equation of a polynomial with a r multiplicity 2 at x = -3 and a…

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Q: If 1+i is a root or zero of the polynomial a + x³ + 3x2 – 8x + 14, find the other roots. Select one:…

A: Topic:- polynomial algebra

Q: Consider the polynomial g(x) (x - 1)(2x + 1)(3z –1)(5x + 1). A. What are the roots of g? B. Suppose…

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Q: Find a polynomial f(x) of degree 3 that has the following zeros.  -8,0,5 leave answer in factored…

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Q: Given: P(x) = 2x - 3x- x + 3x – 1 How many roots does the polynomial 10 above have? What are all the…

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