c) If n is divisible by 6, then n is divisible by 3. If n is divisible by 3, then the sum of the digits of n is divisible by 3. Thercforc, if n is divisible by 6, then the sum of the digits of n is divisible by 3. If this function is If this function is Therefore, if this function is a polynomial, then this function , then this finction is differentiable. then this function is continuous.

Q: What type of polynomial is 14x2 + 3x-15? Use the p

A: given polynomial is

Q: Write a possible function for the polynomial shown: 3- 2- 1+ -2 -1 -1+ -5 -4 4 6. 72 3- 4-

A: Since given polynomial has zeros as x=-3,2,2,5 Therefore, possible function can be

Q: Give and write 5 example each of polynomials with degree 3, 4, 5, and 2.

A: If a polynomial is degree n then highest degree should be n with non zero coefficient

Q: 16. A rectangle has dimensions 2p + 3 and p - 4. Write an expression for the area of the rectangle…

A: We have to find the area

Q: Two polynomials are defined in MATLAB as >>p=[5 03 2 0]; q= 0 -1]; lo find the zeros of T(s) =…

A: Matlab is a programming and numerical platform to compute values, analyze , create model.

Q: 3. Deter 14x^3+kx" Option O Option Option

A: x-1 is factor of polynomial.   Therefore, f(1) = 0

Q: Which of the following represent a polynomial? (a) ---Select--- (b) (c) (d) -Select--- ---Select---…

A:

Q: The generally polynomials are of the form Select one: a. b. O C. d. an" + an-x-1 + ... + aix+ ao…

A: Polynomial A polynomial is  an expression which includes variables, constants and exponents, that…

Q: a. Given the set {-3x3 + 2x2 + x – 2, –3 z3 + 2x² + x – 2,2 a3 – 2 22 + 1, x³ + 3x² – 3x + 2} write…

A:

Q: What polynomial describes the graph below?

A: To find : The polynomial the given describes?

Q: 10. Which of the following polynomials is NOT divisible by (3x+ 1)? A. 6x2 + 17x+ 5 B. 3x - 4x2+…

A: Use remainder theorem

Q: 5. What is the end behavior to the left and right of the following polynomials? a) ODD degree with a…

A:

Q: Determine the probability P (3)

A: Let , , X→B(n=10 , p=0.3) The probability mass function of X is ,  P(X=x)=nxpxqn-x ;…

Q: The generally polynomials are of the form Select one: anx+an-1x²-1 + ax + ao O b. an" + an-x-1+...+…

A:

Q: If P, be a polynomial of degree n, i.e., P, = aok" + a;k"-1. + a, then A" P. = aon!.

A: We have to solve given problem:

Q: Find the first 3 Maclaurin polynomials?

A:

Q: Which of the following polynomials is an element in the span of the polynomials 1 + x + x³ and x+x²?…

A: Definition:

Q: Use Forward Gregory-Newton Interpolation formula to find a polynomial passing through the points…

A: The Forward Gregory-Newton Interpolation formula is defined as:…

Q: 11. Find all zeros of the polynomial P(x) = 2x + 7x + 5x +7x? + 3x.

A: The detailed solution is given below Thank you

Q: 2. Write a computer code that interpolates the function f(x) = 1+2 at the points -5, -4, -3, -2, -1,…

A: Here is the code:import numpy as np import matplotlib.pyplot as plt # Define the function def f(x):…

Q: You will try to find patterns in the products of these polynomials and arrive at a conclusion based…

A: We will simplify first…

Q: You will try to find patterns in the products of these polynomials and arrive at a conclusion based…

A:

Q: Show that the polynomial x + x

A:

Q: Use long division to divide the following polynomials: (3ct + a3-#+1) 은 (22-2x + 1) O 3a2-5x +12 +…

A: Answer

Q: How do you go about figuring out the upper and lower bounds for a polynomial? Is it just random…

A:

Q: 3. Consider the following polynomial expression: 4x* – 16x + 13x". Part A: Write the polynomial…

A: I guess the polynomial is 13x⁸+4x⁵-16x² and I am solving it accordingly. Thank you.

Q: 10. Determine whether the following polynomials span P2. P, =1+x, P, =1-x, P, = 1+x+x, P, = 2-x

A:

Q: Determine the roots the following polynomian 25 - +72 - 7x2 + 12z - 12 if one of the roots is j2. O…

A: Consider the given polynomial is z5-z4+7z3-7z2+12z-12. One of the roots of the given polynomial is…

Q: The image shows the graph of a degree 7 polynomial with leading coefficient -1 whose roots are -1,…

A: The given graph shows the graph of a degree 7 polynomial say px. Leading coefficient :-1 Roots: -1,…