you have learnt about the remainder theorem and long division. Compare and contrast the usefulness of both.

Q: Use synthetic division to find the quotient and remainder if the first polynomial is divided by the…

A: Given, Use synthetic division to find the quotient and remainder if the first polynomial is divided…

Q: Find the quotient and remainder using synthetic division.

A: 6x4+10x3+5x2+x+1x+23

Q: Use synthetic division to find the quotient and remainder if the first polynomial is divided by the…

A: 3x3-4x2-x+8,   x+4 Now, x+4=0⇒x=-4 Now by using synthetic division, we get -4 3       -4      -1…

Q: Use synthetic division to find the quotient and remainder when: x5 - 4x3 + x is divided by x + 3

A: To find the quotient and remainder

Q: How to use synthetic division to find the quotient and remainder? (9x2-58x-35)/( x-7)

A: We first write the coefficients of 9x2-58x-35That is 9 , - 58,  -35

Q: Use the Remainder Theorem to completely factor p(x) = x3 - 6x2 + 11x - 6.   please explain this…

A: Given: px=x3-6x2+11x-6 For doing factors of given expression, we first use hint and trial method So,…

Q: Solve the problem using synthetic division. Determine if x-k is or is not a factor.

A:

Q: Without actual division,Find the remainder obtained on dividing (3x2+5x-9) by (3x+2)

A: Given:                   3x2+5x-9   On dividing by :                   (3x+2):   Solution:…

Q: Create your own division problem and show how to use the Remainder Theorem to determine whether a…

A: A binomial is a factor of a polynomial function if and only if when it is divided the polynomial…

Q: Without actual division , find the remainder obtained on dividing (3x² + 5x – 9) by (3x +2)

A:

Q: Explain how the Remainder Theorem can be used to find fl-6) if f(x) = x* + 7x + &r? + 11x + 5. What…

A: The remainder theorem states that when a polynomial f(x) is divided by a linear polynomial  x-a, the…

Q: use synthetic division to determine the quotient and remainder. (2x4 + 3x2 + 3) ÷ (x + 2)

A: Given, 2x4+3x2+3÷x+2On rewritting, 2x4+0x3+3x2+0x+3÷x+2

Q: 8x4–16x3+9x² – 6x+4 y = 2x3+5

A: using long polynomial division method to solve

Q: Use synthetic division to find the quotient and remainder when: x4 + x2 + 2 is divided by x - 2

A: Given that,     p(x)=x4+x2+2g(x)=x-2   We have to Find the Quotient and remainder

Q: What is the remainder when dividing x2 + x + 7 by x – 1?

A:

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

A:

Q: Use synthetic division to find the quotient and remainder when 2x* + 8x - 3x - 12x + 1 is divided by…

A: Explanation of the solution is given below...

Q: Use synthetic division to find the quotient and remainder when 3x + 8x-x+5 is divided by x- 1.…

A:

Q: To divide x + 5x² – 7x + 1 by x – 4 using synthetic division, the first step is to write

A: Given: To divide x3+5x2-7x+1 by x-4 first step to write

Q: Use synthetic division to show that x + 3 is a factor of                         2x5 + 5x4 - 2x3 +…

A: To show that, x+3 is a factor of 2x5+5x4-2x3+2x2-2x+3

Q: What does the remainder theorem tell us?

A:

Q: If a sixth degree polynomial is divided by a third degree polynomial, what is the degree of the…

A: Explained below

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 synthetic division to find the quotient and remainder when                   x3 - 4x2 - 5 is…

A: We have,  Dividend=x3-4x2-5Divisor=x-3 Therefore, x3-4x2-5x-3 Take the constant term of the divisor…

Q: Use synthetic division to divide x° + 2x – 29x – 26 by x – 5 The quotient is: x2 + 7x + 6 The…

A: To divide the given expression by using synthetic division.

Q: Use synthetic division to divide æ – 2x + 1 by æ – 2 1 -2 1 The quotient is: The remainder is:

A:

Q: use synthetic division to determine the quotient and remainder. (x3 - 5x2 + 2x + 8) ÷ (x + 1)

A: x3-5x2+2x+8x+1

Q: Use synthetic division to find the quotient and remainder when: 0.1x3 + 0.2x is divided by x + 1.1

A: STEP 1: Write the coefficients of the terms in the dividend as a row in the descending powers of x.…

Q: could you use synthetic division to solve (3x4-25x2-20) divided by x-3? how would you sove it using…

A: Refer to the question we need to solve the (3x4-25x2-20) divided by x-3 using synthetic division.

Q: Find the quotient and remainder using synthetic division.  x^3-8x+2/ x+3

A:

Q: What is the remainder when (9x+ 8x² + 7x8 + .. +x) is divided by (x- 1)?

A: Solution:-

Q: Use synthetic division to find the quotient and the remainder.

A:

Q: Without actual division ,find the remainder obtained on dividing (3x2+5x-9) by (3x+2)

A: Find the solution below

Q: Use synthetic division to find the quotient and remainder when x' + 5x - 3x + 9 is divided by x-5…

A:

Q: Find the remainder when f(x) = 2x5 – 8x3 +3 is divided by 3x + 2. -

A: Long Division of Polynomials: A long division polynomial is an algorithm for dividing polynomial by…

Q: 4. Use what you have learned about the Remainder Theorem to show that X +1 is a factor of 19x42 +…

A: We will use the remainder theorem that states that the remainder is zero when we decide the function…

Q: Find the quotient and remainder using synthetic division. 2x2 – 3x + 2 - X - 2

A:

Q: Use synthetic division to find the quotient and remainder. 4x2 –3 х-2 quotient: remainder:

A:

Q: What is the remainder when f(x) = x3 – 13x2 + 40x + 18 is divided by x – 7? Show your work.

A:

Q: How can i  use synthetic division to find the zeros of a 4th degree polynomial?

A: The solution for the above question is as shown below.

Q: To divide 4x3 - 8x - 2 by x + 5 using synthetic division, the first step is to write   __l__ __ __…

A: The synthetic division is another way to divide a polynomial by the binomial x-c, where c is a…

Q: If f(x) = 4x2 + 5x +2, then what is the remainder when f(x) is divided by x +7? %3D

A:

Q: Evaluate 8x if x =3.12 Is this a division problem or both?

A:

Q: Use the Remainder Theorem to find the remainder when x + 9x2 + 4 is divided by x - 1.

A:

Q: Use synthetic division to determine whether or not (x+5) is a factor of (4x3-10x2-8x+6) Quatient:…

A:

Q: What is the remainder theorem and long division? Compare and contrast the usefulness of both.

A: Solution:  Remainder theorem and long division:                             Remainder theorem  is an…

Q: What is the remainder when x² +5x + 8is divided by x - 3?

A: QUESTION 1 As we can see directly from question 1 that  In the equation, g(x)=(x-5)3(2x-7)4…