Answered: Divide using long division. State the…

Divide using long division. State the quotient, q(x), and the remainder, r(x). 3x° + 9x + 14x- 7 x+2 ... 3x° + 9x2 + 14x - 7 + X+2 X+2 (Simplify your answers. Do not factor.)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter5: Polynomial And Rational Functions

Section: Chapter Questions

Problem 12PT: Use synthetic division to find the quotient. If the divisor is a factor, write the factored form....

See similar textbooks

Related questions

Q: Use long division and the Remainder Theorem to evaluate P(c), where P(z) = 2 – 10z? + 19x – 9, c= 2.…

Q: Use synthetic division to find the result when 2x+4x2 +3x + 6 is divided by x + 2. If there is a…

A: Given input is 2x3+4x2+3x+6 divided by x+2 To do this: Take the constant term of the divisor with…

Q: Use the long division method to find the result when 8x4 + 6x3 +11a2 + 4x - 3 is divided by 4x2 + x…

Q: Divide using long division. State the quotient, q(x), and the remainder, r(x (20x +7x-2)+ (4x-1)…

Q: Divide using long division State the quotient, q(x), and the remainder, r(x) 2x + 10x + 13x-4 X+4 2x…

A: If f(x) is divide g(x) then , g(x) f(x) = Q(x) + r(x)f(x) ; where Q(x) is the quotient and r(x) is…

Q: Use synthetic division to show that the number given to the right of the equation is a solution of…

A: Given :

Q: Divide using long division. State the quotient, q(x), and the remainder, r(x). 4x + 13x +6x-24 X+3…

Q: (2x3+3x2+4x-10) divided by (x+1) use synthetic division to find the quotient and the remainder

Q: Divide using long division. State the quotient, q(x), and the remainder, r(x). 4x3 + 15x2 + 15x - 18…

A: Use the long division method in the following way:-

Q: Divide using long division. State the quotient, q(x), and the remainder, r(x). 21x +24x +2x? 3x2 +2…

Q: The remainder when P(x) = 2x3 - 3x2 + 4 is divided by D(x) x + 1 %3D using synthetic division is a)…

Q: Use long division to find the quotient Q(x) and the remainder R(x) when P(x) is divided by d(x) and…

A: find long division below

Q: Use synthetic division to show that the number given to the right of the equation is a solution of…

A: Given the polynomial x3-6x2+5x+12=0

Q: Use synthetic division and the Remainder Thec P(x) = x³ + 6x2 – 1, c = -6 P(-6) = |

Q: Find the quotient and remainder using synthetic division.

A: Given : x3+2x2+2x+1x+2

Q: Find the value by substituting the given value of x into the polynomial and simplifying. P(x) = 4x4…

Q: (b) Use long division to find the quotient and remainder when 2x5 + 4x4 – x3 – x2 + 5 is divided by…

A: Using long division to find quotient and remainder when2x5+4x4-x3-x2+5 is divided by…

Q: Find the quotient and remainder using long division. 12a – x2 – 32x + 16 3x – 4 The quotient is The…

Q: When factoring a polynomial of the form x2 − bx − c, pick an appropriate combination of signs. ( +…

Q: Find the quotient and remainder using long division. x3 + 3x? – 8 | x + 2 The quotient is The…

A: For a rational expression of form P(x)S(x), if the degree of P(x) is greater than S(x) then it is…

Q: Use division to express the dividend as (Divisor)(Quotient) + (Remainder). x2- 7x+ 8 x-2 .... The…

A: Simplification of polynomial

Q: Divide using long division. State the quotient, q(x), and the remainder, r(x). (20x² + 11x - 2) +…

A: As we know that Dividend=(Divisor*Quotient)+Remainder

Q: g(x) = x4 - 9x? - 4x + 12 %3D

A: We know that possible zeros are ±last termFirst term=±121=±(1,2,3,4,6,12) g(x)=x4-9x2-4x+12.…

Q: Use synthetic division to find the quotient and the remainder. (4w4-11w3+10w+7) / (w-2)

A: Given:

Q: Find the quotient and remainder using long division or synthetic division. 23 + 2x? 19х — 15 x + 5…

A: Use long division to get the quotient and remainder

Q: Divide using long division. State the quotient, q(x), and the remainder, r(x). (6x + 15x? + 5x- 7)…

A: To divide using long division: 6x3+15x2+5x-7÷2x-1 To find: Quotient, qx and the remainder, rx.…

Q: Use synthetic division to find the quotient and remainder when x^3+6x^2+4x-5 is divided by x+5…

Q: Find the quotient and remainder using long division for x3 + 4x2 + 11x + 18 x + 2 The quotient is…

A: We divide x3+4x2+11x+18 by (x+2)

Q: Use synthetic division to find the quotient and remainder when 5x - x* + 2x2 + 2 is divided by x -…

Q: Use synthetic division to determine whether the first expression is a factor of the second. If it…

Q: Use synthetic division to show that the number given to the right of the equation is a solution of…

A: Given Equation is : 3x³ - 2x² - 65x + 100 = 0

Q: Use synthetic division to find the quotient and the remainder. 11. (2x* + 7x + x – 12) ÷ (x + 3)

Q: Find the value by substituting the given value of x into the polynomial and simplifying. P(x) = 4x3…

Q: Use synthetic division to find the quotient and remainder when 8x® – 9x* + 4x? + 9 is divided by x -…

A: we use synthetic division

Q: Divide using long division. State the quotient, q(x), and the remainder, r(x). (9x° + 18x +…

A: Given (9x3+18x2+11x-6)÷3x-1

Q: Find the quotient and remainder using long division or synthetic division. x3 – 7x2 + 8x + 7 | - 5…

A: Given x3 - 7x2 + 8x + 7x-5 The objective is to find the quotient and remainder using long division…

Q: Use synthetic division to find the quotient and the remainder. (x5+x° - 1) + (x - 3) Q(x) =| R(x) =D

A: Given that, x5+x3-1x-3 The factor is x-3=0⇒x=3

Q: Without performing the operation of division, find the quotient using the pattern you learned for…

A: Explanation: Given that, x3+216x+6 Formula Used: a3+b3=(a+b)(a2-ab+b2)

Q: Use synthetic division to determine whether the first expression is a factor of the second. If it…

A: Topic- Basic Division

Q: Use synthetic division to find the quotient and the remainder. (x +x° -1) + (x - 3) 5 Q(x) =D R(x)…

A: x5+x3-1÷x-3 It can be written as, x5+0x4+x3+0x2+0x-1÷x-3 Now by using synthetic division, we have 3…

Q: Use synthetic division to determine whether the first expression is a factor of the second. If it…

A: Answer and explanation is given below

Q: A polynomial division is performed and the result is given as: (2) 1+ (x) y (x) 6 = (x) A The…

Q: Use synthetic division to determine whether the first expression is a factor of the second. If it…

A: 4x4-15x2-4, x-2 The given expression can be written as, 4x4-15x2-4=4x4+0x3-15x2+0x-4 Now by using…

Q: Use synthetic division to find the result when x4−10x2−13x−50 is divided by x+5. Write your answer…

Q: Find the quotient and remainder using long division. x° + 6x? 36 x + 4 The quotient is x + 2x – 8…

A: Given:- (x3+6x2-36) /(x+4) To find:- Quotient and Remainder

Q: Without performing the operation of division, find the quotient using the pattern you learned for…

A: Consider the given information x3+216x+6 It is known that a3+b3=a+ba2-ab+b2 Using this identity, we…

Q: Divide (2x5 - 8x4 + 2x3 + x2)/(2x3 + 1)using long division. State the quotient,q(x), and the…

A: 2x3+1x22x5-8x4+2x3+x2 2x5+x2 -8x4+2x3+0

Question

Division using long division

Divide using long division. State the quotient, q(x), and the remainder, r(x).
3x° + 9x + 14x – 7
X+2
...
3x3 + 9x? + 14x - 7
+
X +2
x +2
(Simplify your answers. Do not factor.)

Expert Solution

Step 1

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Use synthetic division to find the quotient. If the divisor is a factor, write the factored form. 2x3+5x27x12x+3
If we divide the polynomial P by the factor xc and we obtain the equation P(x)=(xc)Q(x)+R(x), then we say that xc is the divisor, Q(x) is the _________, and R(x) is the ________.
Use the discriminant to determine the number and type of roots. Do not solve the equation. x2+6x+9=0.
Find the remainder when 4x3 – 5x + 1 is divided bya) x – 2b) x + 3c) 2x – 1 please assist with a to c
Divide using long division. State the quotient, q(x), and the remainder, r(x) : (x3 - 2x2 - 5x + 6) ÷ (x - 3)
Divide using long division. State the quotient, q(x), and the remainder, r(x) : (3x2 - 2x + 5)/(x - 3)
Find the quotient and the remainder by synthetic division of the polynomial P(x) for the given polynomial x - c. Write your answer in the form P(x) = Q(x) D(x) + R. Show the solutions.