Find all the real roots of the following polynomial equation. 1.) (3x+2)(x2-25)=0 2.) 2x3-3x2-8x+12=0 3.) 3x4+5x3-28x2+4x+16=0     Thank you so much!

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: Solve the following polynomial equation completely. Start by using the Factor Theorem. x³ + 9x² +…

A: Topic = Polynomial

Q: I the zeros of the given quadratic polynomials, and verify the relationship between the oefficient…

A: Explanation and solutions is given below.....

Q: If a + bi is a root of a polynomial equation with real coefficients, b + 0, then. equation. is also…

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Q: Suppose that a polynomial equation has the following six roots: -7, -2, 1 + iv2, 1 - iv2, 2, and 7.…

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

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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: Find the roots of the quadratic polynomials: f (x) = 4x2 − 3x − 1

A: Given f (x) = 4x2 − 3x − 1

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

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Q: Find the formula, in standard form y=ax2+bx+cy=ax2+bx+c, for a quadratic that has roots at x = -3…

A: We have to find a quadratic that has roots at x = -3 and x = -2, and has leading coefficient of 1.

Q: Consider 2x3+3x2-x+7=0 where α, β, γ are roots.  Find α2β+β2α+γ2β+β2γ+α2γ+γ2α

A: Given, 2x3+3x2-x+7=0

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

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

A: Topic = Polynomials

Q: Find the zeros of the quadratic polynomial f(x) =6x2 -3,and verify the relationship between the…

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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: What is the equation whose roots are reciprocal of the roots of the equation of 2x2 + 5x + 2 = 0?

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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…

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

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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: Given that f(x) = 12x' - 32x2 + 3x + 5, obtain signs of f(-1), f(0). f(1), f(3) and deduce that…

A: Given that f(x)=12x3-32x2+3x+5 Let us find the signs of f(-1); f(0); f(1); f(3)…

Q: Develop a C program that computes the different roots in a quadratic equation, ax + bX²=0. r = -b ±…

A: we need to compile a C program in order to find the roots of a quadratic equation

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

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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: 2)(x°tx -35)(x2 -ext 1a) Lxス+axー27) =D0 2) Cax2 +SX -う)(3x<+5X-2) [xミ qxt 10) =0 3) Casx2-1) (xメ-…

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Q: 4) -3, -4, 5 ansurer -2 -3 3 answer 6) - answer .

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Q: Choose only one method under the LU Factorization Method to find the roots of the following set of…

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Q: Find the roots of the quadratic polynomials: 6x^2+5x−1 4x^2+4x−4

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Q: Show that the equation 6x4 – 7x +1 = 0 does not have more than two distinct real roots.

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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: Determine the real roots of the equation using open methods (Error≈0.001): f(x) = - 24 + 80x - 90x2…

A: According to the fundamental theorem of algebra, every algebraic equation has a root. The derivative…

Q: Given (1 − x2)y′′ − 2xy′ + 12y = 0 give two linearly independent solutions. Give at least 4 non-zero…

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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 real root of 3*exp(-x/2)+4*In(x)-2 = 0 using False Position method with a=0.5 and b=2.0…

A: Given:            3*exp(-x/2)+4*ln(x)-2=0           3·e-x2+4lnx-2=0     By using False position…

Q: Show that the equation r1 + x³ + 4x – 2 = 0 has exactly one real root.

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

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Q: Determine the roots of f(x) = -12- 12x + 18x² - 2.75x³ a. Graphically

A: A. Hint: The given equation is f(x)=-12-12x+18x2-2.75x3. Differentiate the given function with…

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: 2.) × 1+2xー13x2- 14xt2イ=0

A: To find  The complete set of possible rational roots.

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: If a + bi is a root of a polynomial equation with real coefficients, b ≠ 0, then________ is also a…

A: Given: if a+bi is the root of a polynomial equation with real coefficients,b≠0, then ..............…

Q: Find all the real roots of the following polynomial equation: 1) (3x + 2) (x² - 25) = 0 2) 2x³ – 3x²…

A: Find the real roots of polynomial equations. According to our guidelines , we can answer only first…

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: Show that the equation x3 –- 15x + c = 0 has at most one real root in the interval [-2, 2]. |

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Q: a) For the function of f(x) = x4 + 1, factor f into the product of two irreducible quadratics.…

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Q: Determine the roots of f(x) = -12- 12x + 18x² -2.75x³ a. Graphically

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Q: 2. Determine the exact real roots for the polynomial equations. a) 8x¹ + x = 0 b) x³ = 5x - 4

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Q: Find the function in stardard form of the polynomial that has the roots x=1,2 and -5. (Assume that…

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