Create your own division problem and show how to use the Remainder Theorem to determine whether a binomial is a factor of a polynomial function.

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: you have learnt about the remainder theorem and long division. Compare and contrast the usefulness…

A: In this question we are given with two methods: Reminder theorem. Long division method.

Q: The remainder theorem indicates that if a polynomial flx) is divided by x - c, then the remainder is

A: We have to fill in the blanks: The remainder theorem indicates that if a polynomial fx is divided by…

Q: State the Remainder Theorem.

A: Statement: If f(x) is divided by (x-a) then the remainder will be f(a).

Q: Give a polynomial division that has a quotient of x + 5 and a remainder of –2.

A:

Q: Use synthetic division to determine whether x - c is a factor of the given polynomial. - 4x3 + 5x2 +…

A: Solution:given polynomial is   - 4x3 + 5x2 + 8 ; x + 3

Q: How can you determine whether a linear binomial is a factor of a polynomial without using the…

A: to find : How can you determine whether a linear binomial is a factor of a polynomial without using…

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

A:

Q: Use synthetic division to factor the polynomial x^3+3x^2-10x-24 completely if 3 is a zero.

A:

Q: If a third degree polynomial has a lone x-intercept at x=a , discuss what this implies about the…

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

A:

Q: - Use synthetic division to factor the polynomial x + 3x- 10x - 24 completely if 3 is a zero. AY

A:

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: If the result of a polynomial division is 2x 3 − 4x 2 − 5x + 23/ x + 2 , make (explain in detail) at…

A: If the result of a polynomial division is 2x 3 − 4x 2 − 5x + 23/ x + 2 .  To find: Explain at least…

Q: Use synthetic division to perform the division. 3x- 7x – 16x +5 x-3

A:

Q: Use synthetic division to determine whether x - c is a factor of the given polynomial. 4x4 - 15x2 -…

A: By using synthetic division                        x-2 = 0                          x = 2

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…

A:

Q: Use the remainder theorem to determine the remainder of FXwhen divided by X -5. f(x)=x^2 + 4x-4

A:

Q: Write an eighth-degree polynomial in factored form that is decreasing at both ends, has a single…

A:

Q: We begin the process of factoring a polynomial by first factoring out the assuming that there is one…

A: Consider the given statement. Let's explain it by an example. Example. 3x2+6x Now, find the factor…

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

A: solve the following

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: Use synthetic division to determine whether x - c is a factor of the given polynomial. 3x4 - 6x3 -…

A: Solution: given3x4 - 6x3 - 5x + 10; x - 2 is a factorby using synthetic division

Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = 6x2 + 3x + 9, c=- Need…

A:

Q: Consider the following long division problem: (6x - 4 + 2x3) ÷  (x+4)We begin the division process…

A: Given  (6x - 4 + 2x3) ÷  (x+4)

Q: Find the quotient and remainder using long division. −x^3+3x^2−6x−10  over x^2−x−3

A: By applying the polynomial long division method,

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

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

Q: The remainder upon the division of x98 +4 by x - 2 in z, is:

A: We have to use remainder theorem.

Q: use synthetic division to determine the quotient and remainder. (2x3 - 5x2 - 4x + 6) ÷ (x - 2)

A: Given(2x3-5x2-4x+6)÷(x-2)

Q: compare and contrast the usefullness of remainder theorem and long division

A: The remainder theorem is used to divide two polynomials. The long division method is used to divide…

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

A:

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

A: We have to use synthetic division   By doing that we have to find the quotient and remainder   if…

Q: Use synthetic division to determine if (x - 1) is a factor of x3 +4x2-4.

A:

Q: Use the long division method to find the result when 3x + 3x2 +x + 14 is divided by x +2. Answer:…

A:

Q: Use synthetic division to divide the first polynomial by the second. 5x* - 14x° + 9x2 – 3x +2 x-2

A:

Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = 4x2 + 12x + 5,  c = -1

A: We have been given the polynomial P(x) = 4x2 + 12x + 5 , c = -1

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

A: Find the solution below

Q: use long division and the remainder theorem to evaluate P(c). P(x)=x^3+2x^2-7,   c=-2

A:

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

A:

Q: Consider the polynomial Division (x³ + 5x2 - 7x - 4) ÷ (x – 2) The correct Answer is: • Remainder…

A: NOTE: Refresh your page if you can't see any equations. . take synthetic division using x=2

Q: 1. (x³ – 37x – 84) ÷ (x – 7) -

A:

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

A:

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: . If the remainder dividing the polynomial P(x) = 2x + by x-4 is 114, find the quotient and the…

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…