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

Q: 10. Write a third-degree polynomial f(x) with integer coefficients and zeros of 5, -, and 4.

A: Let the polynomial is  fx=αx-15x--23x-4=αx-15x+23x-4=α5x-153x+22x-4 Coefficient will be integer if α…

Q: How many inflection points can a: (a) quadratic polynomial have? (b) cubic polynomial have? (c)…

A: fx be a qudratic polynomial .⇒f''x=constant xtherefore a quadratic polynomial never has any…

Q: Determine all the roots the following polynomial 24 – 2z3 + 10z² – 18z + 9 if one of the root is -j3

A:

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: need help with this for History of Math Stilwell 8.7.2 dealing with projective geometry

A: Proof:

Q: 16. Find a fourth degree polynomial that has the zeros 3, -2, i.

A: Given data: The first root of the polynomial is x1=3. The second root of the polynomial is x2=-2.…

Q: Give a polynomial equation with integral coefficients that has the following roots. 2, 3, 1/2

A: we can write polynomial as product of roots

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: 1. One of the roots of -5x²(x³ + 2x - 7) is 0. How many other roots are there? А. 3 В. 4 С. 5 D. 6

A:

Q: 3. Use Graeffe's Root Squaring Method to de the real roots of the polynomial equation х3 + За? — 6х…

A: GRAEFFE'S ROOT SQUARING METHOD:   The roots of any polynomial equation with real coefficients can be…

Q: 2. Find the polynomial f (x) of degree 4 whose graph is shown. Leave your answer in factored form.…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The false-position method may have difficulty in finding the root of f(x)=x²- 7.4x + 13.69 = 0…

A: According to false position method if roots lies between x1 and x0 Then next approximation will be…

Q: 4. Write a formula for a quadratic with the given features: x-intercepts (-3, 0) and (1, 0), and y…

A: We need to find quadratic formula.

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: 5 Calculate the roots of the following polynomial equations: (a) x³ – 6x² + 11x – 6 = 0 given x = 1…

A: Topic = Polynomials

Q: 4) a) Show that the equation y = x³ + 3x2 + 16 has exactly one real root. What is it

A: To show That the equation y=x^3+3x^2+16 has exactly one real root.

Q: 1. Find the zero's (aka roots) of the polynomial function and state the multiplicity of each (a) (r…

A:

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: Suppose that a polynomial equation has the following six roots: -9, -6, 1 + i/2,1 – i/2, 6, and 9.…

A: Here, the required polynomial has six roots: -9,9,-6,6,1+i2, 1-i2

Q: 8. For every quadratic there are two roots (or zeroes or x-intercepts). They are always given by Vb²…

A:

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: nswer on 1. Find all the roots of 2x* + x – 8x2 – 4x = 0 | x = -2, x = -0.5, x= 0, x = 2 Bx= -2, x =…

A: Given query is to find the roots of the expression.

Q: Find a cubic polynomial f(x)=ax^3+bx^2+cx+d that has horizontal tangents at the points (-3,2) and…

A: We have to find the cubic polynomial f(x)=ax3+bx2+cx+d...........(1), so that it has horizontal…

Q: Q2 /| Find a cubic polynomial of x (5, 147). given points (0, 2), (1, 3), (2, 12),

A: Newton's divided differences interpolation

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

A: Given  x3 + 2x2 - 5x - 6=0  since one root of the given polynomial is x=1  Therefore (x+1) is a…

Q: Explain in in words how to solve the 2 question 1) If a third-degree polynomial has a lone…

A:

Q: b) f(x)=6x+ +7x² – 8x+ 9 Туре of polynomial Degree Sign of leading coefficient End behaviours Domain

A:

Q: ). A polynomial equation whose roots are {-1, 1 and 7} is A. x - 7x2 -x-7 =0 B. x + 7x? – x -7=0 C.…

A: Given: To find a polynomial equation whose roots are {-1, 1 and 7}

Q: 5 (a) Compute the roots of the quadratic polynomial s² + 2s + 5. (b) Is the polynomial s2 + 2s +5 an…

A: Using square root method we will solve this problem

Q: 5. Write the equation in factored form of a degree 3 polynomial function with roots at -2, - 3, and…

A:

Q: 2. Which polynomial equation has 1, -2, and 3 as roots? A. P(x) = (x + 1) (x – 2) (x + 3) B. P(x) =…

A: Here in the given question we are provided with roots as 1, -2 and 3. And we are asked to find…

Q: 3. Find expressions for the quadratic functions whose graphs are shown. yA (-2, 2), f (0, 1) (4, 2)…

A:

Q: 8. Find all the roots of f(x) = x' - 4x' +6x² – 4x+5 if 2– i is one root.

A: We will find all the remaining roots as following.

Q: ! and A quadratic polynomial y = 4x? + 7x – 3 has roots pand q. Find a quadratic g(x) = x2 + ax + B…

A: To find out the quadratic equation.

Q: What are all the possible rational roots of 2r'+3x-10r +4=0? +1, + 2, +4 only +1, ± 2, t 4, only ±늑…

A:

Q: What are the roots of the polynomial y = x³ – 8? O r = 2, a = -1±iv? O ¤ = 2, x = ±1 O ¤ = 2, x = ±i…

A:

Q: b) Write down the polynomial equation for (1,-2) and (4,3) using Lagrange Method.

A: Let x,y =1,-2 and x2,y2 =4,3Then by Lagrange 's method , interpolating polynimial is given…

Q: 20. What is the largest possible value of the quadratic form 9(x1)2 + 7(x2)? +11(x3)² – 8x1x2 +…

A: What is the largest value of the quadratic form9x12+7x22+11x32-8x1x2+8x1x3if xTx=1.

Q: a. Find a polynomial of degree 4 that has /2 + /7 as a root. That is, find integers a, b, c, d, and…

A: For (a),  We need to find the polynomial of degree 4 that has √2 + √7 as a root. So,

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: 8. (a) Compute the roots of the quadratic polynomial s² + 2s + 5. (b) Is the polynomial s2 + 2s +5…

A: Given quadratic polynomials2+2s+5a.Discriminant,D=b2-4acD=22-4×1×5D=-16D<0so, this quadratic…

Q: What are the possible rational roots of the equation x + 6x2 11x + 6 = 0 A. -6, -3, -2, -1 C.+6, +3,…

A: Rational roots of polynomial  Let us consider a polynomial of the form…

Q: Write down the general solution of 4x? – 2xy + 2+ (4y – x² + 2)y' = 0, x > 0, y > 0 You should…

A: The given problem is to solve the given ordinary differential equation and express the solution in…

Q: 3. Let 7, r, and r, be the roots ofx' +3x-5x-4= 0, construct the equation whose roots are: 7(r, +r3…

A:

Q: What are the rational roots of f(d) = 5d³ – 6d² +d – 8? Oz = -,2 = -,1 O This polynomial has no…

A:

Q: 3. Solve for all the roots of x using Bairstow's Method starting at r₁ = 0.25 and s₁ = 8.75 of the…

A: Given that, A polynomial fx=x4+8x3+72x-81           1, starting with at r1=0.25,  and s1=8.75,  then…

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

A:

Q: 7. How many roots are there to the function J (X) = -3x" + 8, How do you know?

A: topic - quadratic equation

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

A: