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: V. Find a polynomial function with the following sets of zeros. 39. {-2, 3, -4} [1 3 41. 1, - 2,3…

A:

Q: 25. f(x) =x-16x A) -4, 0, 4 B) -8, 0, 8 C) -2, 1, 2 D) 2, 4, 8 26. g(x) = x* -x' -6 A) -V3,-V2, 2, 3…

A:

Q: 3. Use thereom division Value. Verify different rema and to find 6 C methos F(x) = 2x³-9x +(-2)=…

A:

Q: Answer the following justifying your answers with examples or by stating theorem(s) used: a) Is it…

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: 4) Given the polynomial S(x) = 8x³ – 4x² – 10x – 3. Find all rational zeros of the polynomial. Hint:…

A:

Q: L1Q13. Find the end behavior of the polynomial function y = 9x2 + 8x + 9. A....f(x) → -∞ as x → ±∞…

A: Given that the function y=9x2+8x+9. It is required to find the end behavior of the polynomial…

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…

A:

Q: 2. Given the points (1,0.7),(2,0.73),(3,0.8),(4,0.75),(5,0.6). Use Lagrange polynomials to find the…

A: Given points are xi 1 2 3 4 5 yi 0.7 0.73 0.8 0.75 0.6 Here, i=0, 1, 2, 3, 4.

Q: 14. Consider a polynomial equation which has zeroes at -4 - 9i and at 3- 5i. a. Does the equation…

A:

Q: Let a0, a1, a2, a3, a4 be constant real numbers such thata0/5 + a1/4 + a2/3 + a3/2 + a4 = 0.Show…

A: Consider−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−f(x)=5a0​x5​+4a1​x4​+3a2​x3​+2a3​x2​+a4​x.with  input from…

Q: Which of the following statements is/are true about the polynomial function graphed below if all of…

A: The given graph is:

Q: Find that a Polynomial function given Zeros. 5, 77, -8.

A: Given zeros,  0, 7, -8

Q: 89. Prove that the product of two cubic polynomials is apolynomial of degree six.

A: Suppose two general cubic polynomials are px=a3x3+a2x2+a1x+a0andqx=b3x3+b2x2+b1x+b0where a3≠0, b3≠0

Q: 10. Show that the polynomial p(x)=x²-3x³-x² - 4x-20 has at least two distinct roots (Hin use the…

A: We have given,   f(x) = x4 - x2 - 4x - 20

Q: 28. m(x) = x -3x -4x+12 A)-3, -2, 2 B) -2, 2, 3 C) -2i, 2i, 3 D) -3,-V2, V2 poser 29. n(x) =x* +2x…

A: We find out the roots of given polynomial putting equal to 0 . Follow 2nd and 3rd step.

Q: 3. y = 2x + 9x² + 7x - 6 Determine the first factor by utilizing the fact if substituting x = c, (c…

A:

Q: Which of the following cannot be the number of real zeros of a polynomial of degree 5 with real…

A: We are required to find   Which of the following cannot be the number of real zeros of a…

Q: 2) x- 7メ r Sx3 +93 ×2 イ2x-72=0 R) x5-2x4 -15x°t 10×*+イX-18=0

A:

Q: 4. which polynomial is accurate x = [2; 2.75; 4]; y = [0.5; 1/2.75; 0.25]] 0.0455 x² 0.1039x² -…

A:

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

A: In this question , we find the coefficient of velocity function by using the data table. the…

Q: 3. Which of the following polynomial function has degree = 3 and leading coefficient -6? a)…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 1. Which of the following is a polynomial? A. 5x 4x 1+7 B. xV5 + x? D. 3x5 – 5

A:

Q: 1 is a zero of the polynomial P(x)= x³ – 3x* + 7x³ – 13x² + 12x – 4 of multiplicity (а) 3 (b) 5 (c)…

A: Let's find x value.

Q: 5. Find a polynomial of degree 3 whose zeros are 4, 1, -2 and y intercept 16. 6. Find a polynomial…

A:

Q: Let q represent the degree of the following polynomial 5xym -43y'z'+21. Find the value of q- 2. 19…

A: If a polynomial contains more than one variables then we must add the powers of each variables of…

Q: Find the 3x3 matrix that produces the described composite 2D transformation below, using homogeneous…

A: To Determine :- The 3 × 3 matrix that produces the described composite 2D transformation below,…

Q: For the polynomial Ax) = 13(x – 6)(66 – 37x²) (a) Report the exact values of the zeros. 66 66 -6 37'…

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: 5. Determine whether each of the statements below is true or false, and give a justification for…

A: (I)The given statement is false.The derivative of a constant term is zero.Since e5 is a constant…

Q: 1) Which set of values for x should be tested to determine the possible zeros of the function f (x)…

A: We need to find possible x values that needs to be checked where function is zero.   NOTE - As per…

Q: 14) A family of cubic polynomials has roots of -2, -3 and -5. Find the member of this family that…

A: A family of cubic polynomials has roots of -2, -3, and -5. To find the member of this family that…

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”.