Factor x – 3x2 – 4x + 12 completely using long division if (x – 2) is a factor. O (x – 2)(x – 2)(x+ 3) O (x – 2)(x+ 2)(x+ 3) O (x – 2)(x + 2)(x – 3) (x – 2)(x – 2)(x – 3)

Q: [K7] Fully factor the function x* – x3 – 11x2 + 9x + 18. Provide a full solution that - includes the…

A: According to the factor theorem for a polynomial, if x=c is a solution of the polynomial f(x)=0,…

Q: Factor the polynomial. 7) Factor f(x) = 6x³ + 31x² - 29x + 6 given that %3D is a zero. 3

A: Given polynomial is : fx=6x3+31x2-29x+6 13 is one of the zeroes To factor the polynomial.

Q: 1 Synthetic Division of Polynomials Find the quotient and remainder using synthetic division. 2r –…

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Q: 1. Compare and contrast the usefulness of the remainder theorem and long division. b. Do you…

A: Remainder theorem: If any polynomial is divided by a linear polynomial (x-a), then the remainder is…

Q: Iff)-2+3-8x +3, show that x- Lis a fagtor of f(x). Hence factorise fx). Use either short or long…

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Q: Y, = 42x - 97x2 + 27x-2 Use the table to determine a solution of the equation. Use synthetic…

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Q: Find all zeros (real and nonreal) of P(x) = 2x4 + 3x3 – 6x2 + 7x – 6.

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Q: Polynomial P(x)=9x100-5x7-2x2-4 is divided by (x+1). Find the remainder.

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Q: The polynomial f(x) has a remainder (3x-4) on division by 2x²+x-3. The polynomial g(x) has a…

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Q: f(x) = 3x3 - 9x2  - 12x + 6 a) Find the remainder when f(x) is divided by (x-4). b) Use the factor…

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Q: Factor 4x3 + 4x² - x - 1. O a) (x + 1)(2x + 1)(2x - 1) O b) (x + 4)(x + 1)(x - 1) O c) (x - 1)(2x -…

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Q: (4x^2 − x − 23) ÷ (x-1)   use polynomial long division to perform the indicated division. Write the…

A: Consider the division (4x2-x-23)/ (x-1).Here, the dividend is 4x2-x-23 and the divisor is x-1.

Q: The second polynomial is a factor of the first. Factor the first polynomial completely.…

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Q: GCF Factor 1 Factor 2 .2 x - x-2 (x-2) (x+1) 2 2x2 + 12x + 18 35x2 20x + 15 4x2 - 3x- 54 Зх — 54 5…

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Q: II. Use the Remainder Theorem to find the remainder when each polynomial is divided by the…

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Q: #11: POLYNOMIALS & FACTORING 2. 2(x- 4)- 3x(x- 5) 3. 4(x2 - 4x + 6) – 2x(x - 5) 1

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Q: Subtask I of 2: Perform division of polynomials using long divir Activity 1: FIND and SHOW ME THE…

A: Given:Long division methodPx=x-aQx+rx

Q: Carlo is trying to factor the polynomial p(x) = x4 – 4x3 – 4x2 + 24x-9 to determine all of its…

A: As per the question, Carlo is trying to factor the polynomial p(x)=x4-4x3-4x2+24x-9 to determine all…

Q: Q5.2 5 Points Calculate the quotient and remainder on division of f(x) = 4x³ – 2x² + 5x – 3 by g(x)…

A: please see the next step for solution

Q: (b) Factor P completely and find all its zeros. (Use Synthetic division)

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Q: 1 Synthetic Division of Polynomials Find the quotient and remainder using synthetic division. x +…

A: given that x3+2x2+2x+1x+2 we need to find the quotient and remainder from the synthetic division of…

Q: Factor the second order polynomial p(x) = x2 + 0.9 x – 2.52 a. (x +2.1)(x-1.2) b. (x +6.3)(x-0.4)…

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Q: 5. The polynomial function p(x)= x* + 4x³ –7x²-22x + 24 has known factors of (x + 4) and (x-1). a.…

A: We can use the concept of factorization in order to solve the given problem

Q: 2. Factor. a) x² 18x + 81 b) x² - 2x - 15 c) x² + 2x - 24 d) x² + 6x-40 e) x²+x-30 f) x² + 3x-35 g)…

A: Please follow the next step.

Q: 10. Find a 3rd degree polynomial with integer coefficients and zeros 3 - 4i. Multiply out your…

A: We will use the  fact that i) Complex root of polynomial in occurs in conjugate pair when the…

Q: You are given a polynomial and one of its zeros. Find the rest of the real zeros and factor the…

A: Equate the polynomial with 0 and factorize the equation. 3x3-3x=03xx2-1=03xx-1x+1=0

Q: EXAMPLE 4 m Using the Remainder Theorem to Find the Value of a Polynomial Let P(x) = 3x + 5x* (a)…

A: we have  P(x)=3x5+5x4-4x3+7x+3 .................(1) a) P(x) is divided by x+2…

Q: Use synthetic division to find the value of ( x - 6 ) for                 P (x )  =  1  -  7x  - 4x2…

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Q: 15. For the polynomial 3 x*-2x²+5x-8,state the following: a. The degree of the polynomial b. The…

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Q: Polynomial long division (2x^2+6x-15) ÷ (x+5) give the quotient and the remainder.

A: Solution : Using Polynomial long division

Q: a. Apply Horner's rule to evaluate the polynomial p(x) = 3x5 – 2x* + x³ – 2x + 5 at X = -2. b. Use…

A: We will find p(-2) , remainder and quotient as following.

Q: 6x2 -x - 7 20. 3x +1

A: (6x ^ 2 - x - 7)/(3x + 1) divide polynomials using synthetic division

Q: Jse synthetic division to show that x is a solution of the third-degree polynomial equation, and use…

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Q: Alg 2: #2.13 Factoring 3 special cases of polynomials Fill in the blanks to make the equation true.…

A: The given function is  f(x) = x4 +2x2 - 3

Q: ind the quotient using polynomial long division. 23. (18x +6x +9) ÷ (3x – 2) 13 A) 6x-2+ B) 6x+6- 3x…

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Q: y -13 -6 -5 -4 3 Points (x, y) given in the table above are all on the polynomial function y = P(x).…

A: Topic- root of polynomial

Q: 5x^2-12+30/x^2+2 find f(-4) using the remainder theorem

A: If a polynomial p(x) divided by (x-a) then by remainder Theorem remainder is p(a)

Q: polynomial, resulting in the given quotie remainder. Determine the dividend. a) divisor: x – 9,…

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Q: P(x) = x3-6x2+3x+10If (x-5) is a factor of P(x), find the other factors of P(x). Show work.

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Q: What I Know Use the Remainder Theorem to find the remainder when each polynomial is divided by the…

A: The objective of the question is determine the remainder by the help of remainder theorem.

Q: 10. Perform the polynomial division (x² + 3x – 10) ÷ (x – 2) using both the long division method and…

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Q: A factor of the polynomial given below is: 4x3 — 4x? — х +1 O 2x - 1 О х-1 O 2x + 1 O all of the…

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Q: f(x) = 3x3 - 7x2  - 12x + 4 a) Find the remainder when f(x) is divided by (x-4). b) Use the factor…

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Q: -3)x' +x² -14x +3 x -1 d. X-1

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Q: A polynomial expression of degree three is shown below. x²- 3x-4x + 12 Which expression represents…

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Q: 4x2 – 2x + 6 19. 2х - 3

A: (4x ^ 2 - 2x + 6)/(2x - 3) divide polynomials using synthetic division

Q: fa and B are the zeroes of the polynomials f(x) = x² - 5x + k such that a - B=1 find the value of k.

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Q: Consider the polynomial 2x^3-3x^2+x^5. Which of the following statements about the polynomial are…

A: Standard form of polynomial is written with highest degree term as first term, second highest degree…

Q: 5. Factor completely. P(x) = 2x³ + x² - 13x + 6 if (x + 3) is a factor. 6. Find the value of K, so…

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Q: f(x) = 3x - 8x2 + 7x-6 Complete the first row of the synthetic division table. Is x-2 a factor of…

A: In algebra, the synthetic division is a method for manually performing Euclidean division of…