20.* a Lei P(2) = 1+22 + 322. of P(2) are inside the unit disc. b. Show that the same conclusion applies to any polynomial of the form: ao +a1z+azz²+…+anz", with all a, real and 0 s ao sai s s an +nz"-1, By considering (1 - 2)P(2), show that all the zeroes

Q: For the polynomial below, 2 is a zero. h(x)=x'+4x+ 6x- 36 Express h (x) as a product of linear…

A:

Q: 5. Find a polynomial of degree 3 whose zeros are 4, 1,-2 and y intercept 16.

A: Since given that the polynomial has degree 3 and its zeros are 4, 1, and -2.Then the polynomial can…

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: F. Find the four roots of the polynomial z* + 16 and use these to factor z* + 16 into two quadratic…

A: We need to find the root of z4+16=0 Consider: z4+16=0⇒z4=-16⇒z22=-16⇒t2=-16…

Q: A third degree polynomial passes through the points (0,9), (1.14), (2,17), (3,24), (4,41), (5,74)…

A: The value of X1=∆y3=y4-y3=24-17⇒X1=7and value of ∆2y2=X2=∆y3-∆y2=7-3=4⇒X2=4

Q: Ex.5 - Prove that the polynomial 2ª + z + 1 has exactly two zeros in the right half-plane.

A: Solution: We will be using the method of Routh array For a polynomial Qz=anzn+an-1zn-1+...+a1s+a0…

Q: List all the possible rational roots of 4x* – 2x³ – 6x² + 22x – 15 =0.

A: To find all the possible rational roots

Q: 7hat is a polynomial function in standard form with zeroes 1,-2, 3, and -3? Ox+x - 11x2– 9x- 18…

A:

Q: Sketch a higher degree polynomial with the following roots: -2, 3, -3, 6. f(x) 9,

A: It is given that the roots are -2, 3, -3 and 6. That is, x+2=0, x-3=0, x+3=0 and x-6=0. The…

Q: Find the volume of the solid generated by revolving the region bounded by the lines and curves y e*,…

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Q: If a and B are the zeros of the quadratic polynomial f(x) = ax? + bx + c,then evaluate: (19 a? B.…

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Q: 5. Use end behaviours, turning points, and zeros to determine which graph represents the polynomial…

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Q: 4. Find ALL additional real zeros of the given polynomial equation given that x = 6 is a zero of the…

A: Factors  Reals roots are x=1,-1,6,2.5,-2.5

Q: 6. Which polynomials have 4 roots? Select all that apply. 3x* – 81 = 0 4x + 4x + 4 = 0 2x4 + 3x? +…

A: The root of the polynomial is measured by its degree. Degree of a polynomial is the highest power of…

Q: Give all possible rational zeros for the following polynomial. 42) P(x) = 3x3 + 32x2 + 32x + 27 A)…

A: We have to find the all possible zeroes of the given polynomial.

Q: Let z1 and z2 be the roots of the polynomial p(z) = 2z2 + 4az + 1862, where a, b e C and b # 0. Show…

A: We have to solve given problems:

Q: 17. How many times is (x – 1) a factor of the polynomial function g(x) =x* – 6x² + 8x – 3? A. None…

A:

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.