Dividing a polynomial with another - A step by step guide

Find a polynomial p of degree 3 satisfying: p(-2)=49, p(-1)=10, p(1)= -2, p(2)= -23

1. For each polynomial listed below, determine i the degree of the polynomial ii the coefficient of the leading term iii the constant term a. P(x) = x + 1 b. Q(x) = 3x + 2 c. R(x) = x2 + 2x + 1 d. W(x) = 4x2 + x + 3 e. Z(x) = 3x3 + 2x2 + x

A. Choose an example of a rational expression, and present a step by step solution. B. Under what situation would one or more solutions of a rational equation be unacceptable? C. Define a polynomial and a rational expression. What makes a rational expression unique? Provide two original examples of a rational expression an

A) Draw the shift register circuit that would perform this task b) Encode the data bit sequence 10011011100 (leftmost bit is the least significant) using the generator polynomial and give the code word. c) Encode the data bit sequence 10011011100 (leftmost bit is the least significant) using the generator polynomial and give

See attached document Section 5.1 # 40 Find the greatest common factor for the group of monomials 16x2z, 49xz2, 72z3 #72 Factor out the GCF in each expression. a(a+1) - 3(a+1) Section 5.2 #16 Factor the polynomial. 9a2 - 64b2 #80 Use grouping to factor the polynomial completely. x3 + ax + 3a + 3x2 Section 5.3 #

Number Theory - Polynomial Congruences Find all solutions of each of the following congruences . (a) x2 + x +1 ≡ 0 (mod 11)

1) Find all rational zeros of the polynomial. (Enter your answers as a comma-separated list. If a zero has multiplicity greater than one, only enter the root once.) P(x) = x^3 â?' 6x^2 + 11x â?' 6 x= Write the polynomial in factored form. P(x) = 2) Find all rational zeros of the polynomial. (Enter your answers as a c

The picture is just of a square 3/4 of the square is shaded if I can get help with that information thank you you will not be able to see the picture of the square. 1. Area of a square. Find a polynomial A(x) that represents the area of the shaded region in the accompanying figure. ------------------X--------------------

Simplify ( 3x3- 9x - 3) / ( 3x - 3 )