The roots 1+21 and 1-21 satisfy the third degree polynomial 2x3 -x2 +4x + G=0, where G is a real number. The other and the value G is by using long division

Q: The polynomial + ax 3x+ hx 2 has roots -1 and 2. one of which is a triple root. Find the values of a…

A: There are two possible case, checking one by one both to know which is the possible case as in next…

Q: Using the given root factor completely and determine all roots 1) x' + 9x² + 23x + 15 = 0; -3

A: One root is given so devide the given equation with factor of zero and than factories the quotient…

Q: From the given polynomials be able to solve each by %3D factoring or any other way of solving to…

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Q: Find a degree 3 polynomial with real coefficients having zeros 2 and 2−2i and a lead coefficient of…

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Q: From the given polynomials be able to solve each by factoring or any other way of solving to find…

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Q: The polynomial P(x) = 5x2(x – 1)°(x + 6) has degree It has zeros 0, 1, and The zero 0 has…

A: topic - polynomials multiplicity of zero : The number of times a given factor appears in the…

Q: The polynomial 2x^3 + ax^2 - 10x + b has a factor of ( x-1 ) and has a remainder of 15 when divided…

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Q: Given, f(x) = 6x3 + x2 - 4x + 1. Solve,  a. List all possible rational roots or rational zeros. b.…

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

Q: The polynomial x(x^2-4)(x^2+4) has___ real roots.

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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: 7.4x+4x3-2Sx2 -x+ 6 0 XI =-3

A: Since you have asked multiple questions, as per company guidelines we will solve the first question…

Q: Find a polynomial with leading coefficient 1, degree 5, zeros i and 3 – i, and passing through the…

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Q: Find a degree 3 polynomial whose coefficient of x^3 equal to 1. The zeros of this polynomial are −3,…

A: First of all we will find the factors of this polynomial using the zeros that are given to us. We…

Q: 4x

A: Zeros of f(x) must satisfy f(x),i.e., f(x) will reduce to zero at the zeros of f(x).

Q: Factor the polynomial P(x)= 2x4+15x3+17x2+3x-1 completely over the real numbers using synthetic…

A: In this question we have to factor the polynomial using synthetic division by x+1

Q: Determine the set of values of k for which the equation (3-2k)x + (2k – 3)x+1 = 0 has no real roots.

A: For no real solution of quadratic equation, Discriminant (D) < 0

Q: Ques.2. Use the Birge-Vieta method to find a real root correct to three decimals of the following…

A: We calculate root of polynomial using Birge-Vieta method   In this problem the coefficients are…

Q: If x = -1 is a root of the polynomial 0 = x3 + 4x? + 2x – 1, what are the remaining roots? -3+V13 x…

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Q: (a) Factor (fx)=x^3-4x^2+x-4 into factors of the form (x-c), given that 4 is a zero. (b)…

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Q: From the given polynomials be able to solve each by factoring or any other way of solving to find…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: (a) Factor: x2-2x- 3 (b) What the roots of x2 - 2x - 3 = 0?

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Q: Find all the roots for the polynomial. For each root, state it's multiplicity. f(x) = 36x4 – 37x³ +…

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Q: Every polynomial equation of the nth degree has n real roots Select one: O True O False

A: Given :   Every polynomial of degree of nth degree has two types of roots : Real and Non-real /…

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

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

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Q: Find a polynomial with real coefficients, degree 3, and zeros 3 − 2? and −2. Give both the factored…

A: Given, degree=3 zeros are 3,-2, and -2.

Q: One of the factor of kx^3+3x^2-2kx+1 is x+1. Find k

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Q: In the process of solving 2x3+7x2+9x+10=0, you test 1, 2, 5, and 10 as possible zeros and determine…

A: Given 2x3+7x2+9x+10

Q: From the given polynomials be able to solve each by factoring or any other way of solving to find…

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Q: Find the polynomial equation of lowest degree, with real coefficients and leading coefficient 1 that…

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Q: Write the equation of a third degree polynomial in standard form (multiply out) with the given…

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Q: Find all the real zeros of teh polynomial. Use the Quadratic Formula if necessary given. P(x) = 4x3…

A: Zeroes are those values for the polynomial which gives zero value for the polynomial when replaced…

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: 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: The polynomial x^3-7x+c, where C is a real number, has roots of 1 and -3. Find the third root

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Q: Given: f(x) = 2x3 + 6x2 + 5x + 2. Solve, a. List all possible rational zeros. b. Use synthetic…

A: Given:fx=2x3+6x2+5x+2

Q: From the given polynomials be able to solve e factoring or any other way of solving to find tH х. 1.…

A: First factor then solve

Q: Find the degree two polynomial, in standard form, with real coefficients that has a zero 3i+6.

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Q: The function, f(x) = x³ + x – 13x + 3 has an x-intercept at x = 3. Use polynomial division to factor…

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Q: Create a polynomial equation with real coefficients that has 2 and 1-i as roots.

A: To create a polynomial equation with real coefficients that has 2 and 1-i as roots.

Q: Find a polynomial (fx) of degree 3 that has the following zeros. -4, (multiplicity 2), 3 Leave…

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Q: Find the value of the constant "k": 3x^2-5x+ 4k-5-0 has one root equal to 0.

A: We will use formula for root of quadratic equation

Q: The roots of x² + 4x + 7 are________. -real and rational -real and irrational -imaginary

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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: One or more solutions of a polynomial equation are given. Use synthetic division to find any…

A: Given equation is Since x=3 is solution of given equation , therefore dividing the equation by x-3…

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

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Q: find all roots of the polynomial f(x)=(3x-2)(3x^2-5)(x^2+9)

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Q: One or more solutions of a polynomial equation are given. Use synthetic division to find any…

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Q: To find the possible roots of the polynomial 4x3 + x4 - 7x² - 8x - 8

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