2. (a) Use polynomial long division to determine the quotient when 3x3 5210x 4 is divided by 3x 1 (b) Show, by polynomial long division that x3-3x2 + 12x _ 5 = ( x2 - x + 10)+ 15 r2 r-2
Find the quotient Q(x) and remainder
R(x) when the polynomial P(x)
is divided by the polynomial D(x).
P(x) =
4x5 + 9x4
− 5x3 +
x2 + x −
25; D(x)
= x4 + x3
− 4x − 5
Q(x) =
R(x) =
Use the Factor Theorem to show that x − c is a
factor of P(x) for the given values of
c.
P(x) =
2x4 −
13x3 −
3x2 + 117x − 135;
c = −3, c = 3...
Use synthetic division to find the quotient. 28. (3x3 – 2x2 + x - 4) = (x + 3)
When a certain polynomial is divided by x+2, the quotient is x² - 4x + 1 and the remainder is 8. What is the polynomial? 3. When a certain polynomial is divided by X-3, the quotient is x2 + 2x-5 and the remainder is -3. What is the polynomial?
Saving... < Question 10 of 20 When you divide 3x3 – 7x2 + 3x + 9 by x - 2, the remainder is 11. Which of the following terms appear in the quotient? There may be more than one correct answer. Select all correct answers. 3x3 0-1 u -X 3x2 04
Use this computer algebra system to divide (14x? + x + 3x5 + 7x4 +4x3 - 8x2 + 22). + (2x4 – 3x3 + 4x2 + x – 5) What terms are in the quotient (excluding the remainder)? There may be more than one correct answer. Select all correct answers. 36 0-36x3 7x3 107x2 11r2 -58 U O 4x 0-16
Your progress has been saved < Question 3 of 20 > -x+3x3 –3x2 +20 Nicolette used synthetic division to simplify the rational expression Here is Nicolette's work: x-2 21-10 3 -3 0 20 -2 -4 -2 -10 -20 -1 -2 -1 -5 -10 10 In the quotient, what is the coefficient of x? Enter your answer as an integer, like this: -42
3. (i) Let f(x) = 2x4 –1 +5 and d(x) = 22 – 24 – 1. Use the long division to divide f(x) by d(x). Write out the long division diagram, and then write your final answer in the form f(x) = d(x)g(x) +r(x), where g() is the quotient, and r(x) is the remainder. (ii) Let f(x) = 3x - x2 + 2x + 30 and d(x) = x +2. Use the synthetic division to divide f(x) by d(x). Write...
Write a latex solution for #2 please.
1. Use back substitution to solve each of the following systems of equations: (a) -3X2 = 2 2x2 = 6 (b) x1 +x2 +x3 = 8 2x2 + x3 = 5 3x3 = 9 (c) x1 + 2x2 + 2x3 + X4 = 3x23 2x41 4X4 = (d) X1 + X2+ X3+ X4+ X5 = 5 2x2 + X3-2x4 + X5=1 4x3 + x4-2x5 = 1 2. Write out the coefficient matrix for...
Please complete the following exercises: 1. What are the quotient and remainder when a) 44 is divided by 7 b) 7777 is divided by 21 c) -98 is divided by 99 d) -1 is divided by 16 e) 0 is divided by 17 If possible show work