Find the polynomial equation of lowest degree, with real coefficients and leading coefficient 1 that has the given roots. 2i,-3+i

Q: Given this polynomial x²+3x+5=0 such that r and s are the two roots of the equation. Find the value…

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Q: A polynomial equation with rational coefficients has the roots 7+ V2 and 4 V2. Find two additional…

A: We have to find the other two roots of the polynomial function.

Q: How many roots does the polynomial equation have? 0 = x2 (x + 3)* (x - 1) Enter your answer in the…

A: The given equation,0=x2x+34x-1

Q: Find all the solutions to the polynomial: x* + 4x°+7x² + 16x + 12 = 0 1 -4 -2i O 2i -3 O -1

A: A polynomial function is a function that involves only non-negative integer powers or only positive…

Q: Find a degree 3 polynomial with real coefficients having zeros 1 and 4i and a lead coefficient of 1.…

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Q: T-2x2-5x +6 = 0.

A: Simplification

Q: One of the roots of the polynomial equation is given. Find the other roots. Show solutions. 1. x^3…

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Q: Let [a] denote the greatest integer less than or equal to a.Given that the quadratic equation x + a?…

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Q: Find an equation for the 4h degree polynomial P(x) shown below. You may leave your answer in…

A: This is graphical problem we use x and y intercept to find the function

Q: P(x) = 3x – 4x3 + 2x² + 3x – 6 How many complex zeros does the above polynomial have?

A: We have to find the complex roots

Q: Find a formula for the polynomial P(x) with • degree 3 • real coefficients • zeros at a = -5-2i and…

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Q: Which roots of the polynomial xr°-x-4x² +4 are x-intercepts for the graph of y=x° -x* – 4x² + 47 A x…

A: We have to find the roots of the polynomial x6-x4-4x2+4 are x-intercept for the graph of…

Q: 3y³ – 4y2 + 3y y² + 1 dy

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Q: Solve the polynomial equation. 4 x +21x =0 The solutions are (Use a comma to separate answers as…

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

A: The detailed solution is given below Thank you

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: Given that z=1+2i and z=1-2i are roots to the polynomial equation 2z3-5z2+cz- 5=0, where cE R. Find…

A: Let the roots of a general cubic equation, ax3+bx2+cx+d=0 are α, β, γ. We know that:…

Q: Which of the following are the solutions to the polynomial equation x - 13x +36 0? O a. x = 0, 4, 9…

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Q: e the polynomial equation by using the root method, and check the solutions graphically. 3x³-192=0…

A: Given query is to find solution of the polynomial.

Q: Find the roots of the polynomial: f(x) = 2xª + 3² – 30.

A: Given: fx=2x4+3x2-30 We know that solution of equationy=ax2+bx+c is given by x=-b±b2-4ac2a…

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

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Q: Find a polynomial function with real coefficients that has the given zeros. (There are many correct…

A: The detailed solution is as follows below:

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: Find a degree 3 polynomial whose coefficient of x3x3 equal to 1. The zeros of this polynomial are…

A: See the detailed solution below.

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

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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: If a,b,c,d, and e are real numbers and a ≠ 0, then the polynomial equation ax଻ + bxହ + cxଷ + dx + e…

A: Given polynomial,  ax^7+bx^5+cx^3+dx+e=0

Q: Find a polynomial P(x) with rational coefficients that has the degree 5 and zeros -2, 1+ 2i and –1 –…

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Q: If a,b,c, d, and e are real numbers and a ± 0, then the polynomial equation ax +bx + cx° + dx + e =…

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

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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 the value of k so that the equation 2x + kx – 5 = 0 and 2 - 3x – 4 = 0 have one root in common

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Q: a) [5] Evaluate (2 - 3)² + 6 × (4 + 1) + 3² . B1: b) [5] Determine the polynomial with the…

A: Explanation of the answer is as follows

Q: (a) Construct a polynomial x+2x+3x+4 (b) Find out the value of the above for x-1,2,3 (c) Calculate…

A: NOTE: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

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

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Q: Which polynomial expression of fourth degree has the roots x=-3,x%=3,x%= 5i ? A x +16x-225 B…

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Q: Solve the polynomial equation x3 + 4x2 − 9x − 36 = 0 and select the correct answer below.  a x =…

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Q: One of the roots of the polynomial equation is given. Find the other roots. Show solutions. x^3 - 1…

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

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

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

A: our objective is to solve the polynomial.

Q: 5. Given that (x – 2) is a factor of the polynomial (x3 – kx² – 24x + 28), find k and the roots of…

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Q: 3. Which of the following polynomial equations has 2 as one of the roots? А. X2 — 5х + 8 %3D0 В. 4x3…

A: For the solution follow the next step.

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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Q: P(x) = 3x^5 – 4x^3 + 2x² + 3x – 6 How many complex zeros does the above polynomial have?

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Q: Find all real solutions of the polynomial equation. x4 + 8x3 + 9x2 − 28x + 10 = 0

A: The given polynomial equation,  x4+8x3+9x2-28x+10=0

Q: The quadratic form Q(x) = 3x1² + 7x,2 + 4x3? is (a) Positive definite (b) Indefinite (c) Negative…

A: A real quadratic form Q( x1 , x2 , x3 ) is said to be  i) positive definite if Q>0 for all X≠O…

Q: Find the roots of the polynomial equation. x3- 2x2 + 10x + 136 =0 Select one: O a.-3 + 5 i, -4 O b.…

A: Given,  A polynomial of degree 3 : x3 -2x2 + 10x + 136= 0