Applying Eisenstein's criterion to verify if a polynomial is irreducible or not. For example: x^3+4x^2+3 We choose p=3. We can't apply Eisenstein's criterion on this polynomial because the non-leading coefficient 4 is not divisble by p. But if we have for example: x^3+6x^2+3 we could apply the criterion because the non-leading coefficients 3 and 6 are divisible by p. Is this correct?

Q: 3. What is the leading coefficient in this polynomial ? -7x^3 + 5x^2 + 8x^4 - 9x^7 - 15 -7 -9 -15

A: From the given equation , first we find the degree of the equation Degree is 7 So the coefficient…

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Q: 5. 2x²x²x²x-3

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Q: 15 What are the factors of this polynomial?

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Q: 200. (5ab- 1)(2ab + 3)

A: Topic = Algebra

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Q: In Exercises 7-12, find all zeros of the given polynomial. 7. x³ + x² - x + 2 8. 3x³ - 7x² + 8x - 2

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Q: (2x ^ 3 + 4x - 6)/(x + 3)

A: Solve : 2x3+4x-6x+3

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Q: calculate the value of the coefficients a1, a2, a3 in the equation by Gauss elimination method.

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Q: I am trying to find out if the polynomial 12x^4+8x^3+9x^2+4x+4 is reducible or irreducible over Q.…

A: The given polynomial is, 12x4+8x3+9x2+4x+4

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Q: Then y'(0) 1- 1 2

A: Here we use Newton's Forward Difference Method :

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A: We will simplify first…

Q: 8 Given p(x) = -3x³ + x6 - 7x5 + 10x4 + 48. a) What is the degree of the polynomial? b) What is the…

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Q: Find the polynomial with thats has degree 3 and Zeros 2,-1 and 3

A: To find the polynomial with thats has degree 3 and Zeros 2, -1 and 3.

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Q: The zeros of the polynomial P(x) = x* - 5x2 + 4 are (a) 2i, -2i, i and - i (b) 2,-2, i and – i (c)…

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.