Answered: When the following polynomial division…

When the following polynomial division is performed, what is the remainder? (2x6 + 3x4 – x3 + 2x + 1) ÷ (x - 2) | a) 173

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter6: Polynomials

Section: Chapter Questions

Problem 752PT: For the polynomial 10x4+9y21 (a) Is it a monomial, binomial, or trinomial? (b) What is its degree?

See similar textbooks

Related questions

Q: 2) Perform the following division of polynomials by synthetic division. a) (10x3 – 31x² + 26x – 3) +…

A: We have to perform division of polynomial 10x3 - 31x2 + 26x - 3 ÷ (2x-3) by synthetic…

Q: Use the sketchpad to show the steps of synthetic division and using the remainder theo- rem to find…

Q: Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of…

A: We have to check

Q: 1) Perform the following division of polynomials by long division. b) (12x* – 25x3 – 7x² – 8x – 5) +…

Q: Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of…

A: Given are polynomials 5x4+8x3-7x2+47x+5 and x+3. We need to find whether x+3 is the factor of…

Q: Find the quotient and remainder using synthetic division: x^3+3x^2−9 over x+2

A: Solution:- Write the problem in a division-like format. We have to do this: Take the constant term…

Q: 1. use the remainder theorem to find the reminder of the following divisions and then check your…

A: Given: (a). ( 4x3 - x2 + 2x +1) divided by ( x-5) If a polynomial P(x) is divided by the binomial…

Q: The area of a rectangle is 2x^3+5x^2-x-6 sq m. Write a polynomial that represents its width if its…

Q: Use synthetic division to find the result when 3x + 19x2 + x -21 is divided by x + 6. If there is a…

A: Polynomial is written in asked format using synthetic division.

Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = 6x5 + 10x3 + x + 1, c =…

A: Px=6x5+10x3+x+1 , c=-2

Q: Consider the following Polynomial Division: (3 x3 + (-8)x2 + (-9)x + 5) (x+2) What is the remainder…

Q: The remainder upon the division of x75+ 6 by x-3 in z, is: 5 6.

A: The remainder upon the division of x75+6 by x-3 in ℤ7is determined as shown below

Q: 4. Find the factors of the following polynomials with complete solution using synthetic division.

Q: Use synthetic division and The Remainder Theorem to evaluate p(-3), where p(x) = 6x2 - 2x + 10.

A: solve the following

Q: Find the quotient and remainder using synthetic division for x³ + 9x2 + 21x + 22 x + 2

Q: Does is verify the results of the long division process shown below? 2x + x+ 18 x+ 2)2x – 3x2 + 4x +…

A: Verifying the long division process.

Q: Use Long or Synthetic Division to completely factor the following polynomials: (x³ + 4x2 – 31x – 70)…

Q: Find the quotient and remainder using long division for: x2+6x+15/ x+3

Q: Use polynomial long division to divide( 10x-37x+ 10x+28) + (5x-6) What is the result? Be sure your…

Q: Use the long division method to find the result when 12x- x2-8x - 16 is divided by 3x- 4. .......…

A: We will use long division method to find remainder when 12x3-x2-8x-16 by 3x-4

Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = -2x6 + 7x5 + 40x4 - 7x2 +…

A: Given: P(x) = -2x6+7x5+40x4-7x2+10x+112. c = -3 To find the remainder using synthetic division

Q: If a polynomial f(x) has a remainder of -9 when divided by a 3, what is f(3)?

Q: The remainder upon the division of x98 +4 by x - 2 in z, is: 6. None

Q: 2. Use synthetic division to write f(x)=x4 – 2x3 – 49x? – 22x + 240 in completely factored form.

Q: When the following polynomial division is performed, what is the remainder? (4x – 3a2 – 4x + 1) ÷ (x…

Q: 3) Use synthetic division to determine if the given polynomial is a factor of 6x3 – 13x? – 73x – 60.…

Q: find the quotient and remainder 3x^3-12x^2-9x+2 over x+3

A: Given query is to find quotient and remaineder using synthetic division.

Q: Use synthetic division and The Factor Theorem to determine if (x + 3) is a factor of M(x) = 3x +7x2-…

Q: The remainder upon the division of x75+ 6 by x- 3 in z, is: 1 5 6.

A: I am solving it in step 2

Q: The length, width, and height of a rectangular box are represented by 2r, 3x + 1, and 5x - 6,…

A: Use the formula for volume of the rectangular box and than simplify.

Q: Find the quotient and remainder using synthetic division.

A: Given expression is 2x2-5x+3x-3

Q: 3) Use synthetic division to determine if the given polynomial is a factor of 6x3 – 13x? – 73x – 60.…

A: Synthetic division is an alternative to the long division method. you can calculate without writing…

Q: If the result of a polynomial division is 2x3 − 4x2 − 5x + ___23____…

A: Given that, the result of a polynomial division is 2x3−4x2−5x+23x+2. From the given information, it…

Q: Use synthetic division to determine whether x - c is a factor of the given polynomial. 2x6 - 18x4 +…

A: Given polynomial, 2x6-18x4+x2-9; x+3. Here, the divisor is x+3=x--3. So, place -3 to the left of…

Q: What is the result when 2x4 - 6x³ - 13x2 + 13x + 1 is divided by 2x 9? If there is a remainder,…

Q: (3z3 – 5z² – 2) ÷ (z – 1) = 522 2) (x

A: Topic =Algebra

Q: Find the quotient and remainder using long division for x3 + 4x2 + 10x + 13 x + 2

Q: 4. (a) Perform the following algebraic division 3x3 – 4x + 1 (x + 2)

A: According to our terms and condition i have solved first question for next question repost

Q: Use synthetic division to find all the factors of x3 + 6x2 - 9x - 54 if one of the factors is x - 3.

Q: 2) Perform the following division of polynomials by synthetic division. a) (10x³ – 31x² + 26x –…

A: Given : (10x3-31x2+26x-3)÷(2x-3) While using synthetic division , solve the divisor for x…

Q: 9) Perform the following division of polynomials by synthetic division. (8x3 + 6x² – 39x + 11) ÷ (4x…

Q: Use synthetic division to determine whether x - c is a factor of the given polynomial. x6 - 16x4 +…

A: if x+4 is a factor of x6 - 16x4 + x2 - 16 then on dividing remainder become zero

Q: 16) Perform the following division of polynomials by long division. (12x³ – 7x2 – 38x + 42) ÷ (4x –…

A: The given expression is 12x3-7x2-38x+42÷4x-5.

Q: 15) Find the remainder of the polynomial 5x4 – 3x3 + 9x – 1 when divided by x + 3

Q: Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of…

Q: 7x²+

A: We will use synthetic division:

Q: Perform the following division of polynomials by synthetic division. (xª – x³ – 9x² + 29x – 30) ÷…

A: Given information: x4-x3-9x2+29x-30÷(x2-3x+4) Therefore, can be written as, x4-x3-9x2+29x-30x2-3x+4…

Q: what is the remainder when g(x)=x^{3}-3x^{2}+4x-12 is divided by (x-1)/

Question

Pls help, ASAP

When the following polynomial division is performed, what is the remainder?
(2a6 + 3x – x³3+2x + 1) ÷ (x - 2)
O a) 173
b) 181
O c) 5
O d) 7

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Basics (types, similarity, etc)$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Use the Factor Theorem to determine if x+3 a factor of x3+8x2+21x+18 .
For the polynomial 10x4+9y21 (a) Is it a monomial, binomial, or trinomial? (b) What is its degree?
When we divide a polynomial P(x) by a divisor D(x), the Division Algorithm tells us that we can always obtain a quotient Q(x) and a remainder R(x). State two forms in which the result of this division can be written.
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 _______.