Choose the correct conclusion based on the following synthetic division: -5)2 - 10 3 - 38 -15 35 15 2 -7 -3 2x + 3x? – 38x – 15 2r³ + 3x? – 38x – 15 (a) x + 5 is a factor of (c) x + 5 is not a factor of 2x³ + 3x² – 38x (b) x - 5 is a factor of (d) x - 5 is not a factor of 2r3 + 3x2 – 38x 15 15 - -

Q: In Z,[x] The quotient when 5x* + 3x² + 1 is divided by 3x² + 2x + 1 is 4x² + 3x + 6. a) True b)…

A: We decide whether given statement is true or false

Q: What is the result when 4x - 11a - 24x2 + 19x – 12 is divided by T(x) 4? If there is a remainder,…

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Q: nd the possible roots of the polynomial 2x³ + x4 - 7x² - 8x + 12 e factors of ± by factors of ± 12 1…

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Show that x² − 4 is a factor of x⁴ − 5x³ + 2x² + 20x − 24

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Q: Show that (x- 3) is a factor of 2.x3 - 2x2 - 17x + 15. Hence express 2x³ – 2.x² – 17x + 15 in the…

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Q: 12. When the polynomial 2a3 – 11x - 5 is divided by æ – 5, the quotient is of the form ax? +bx +c.…

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Q: What is the result when x4 6x3 + 4x2 + 18x – 12 is divided by x-4? If there is a remainder, express…

A: We will use long division method to find the answer

Q: What is the result when 3x + 21x³ + 26x2 + 4x - 7 is divided by x2 + 5x 3? If there is a remainder,…

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Q: What is the degree of the polynomial 3x4-5x3+7x2-2x+8?

A: Degree of polynomial: The highest or the largest power of the variable denotes degree of variable…

Q: What is the result when 3x + 10x2 - x-9 is divided by a + 1? If there is a r(x) remainder, express…

A: Let fx=3x3+10x2-x-9 and gx=x+1 To divide fx by gx, we first rearrange the terms of fx as follows:…

Q: 3) Use synthetic division to determine if the given polynomial is a factor of 6х3 — 13x2 — 73х- 60.…

A: Given polynomial is  fx=6x3-13x2-73x-60 We need to find if the given polynomials are a factor of fx

Q: If (7.x* – 5x – 7xº + 2.x-3) is divided by (x+ 3) using synthetic division, the numbers in the first…

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Q: 5. Suppose you use polynomial long division to divide p(x) by q(x), and after doing your…

A: We know that, the number which we divide is called the dividend. The number by which we divide is…

Q: When P(x) = 2x - 4x – 6 is divided by D(x) = x + 2 by using synthetic division, the missing number…

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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: (8) Find the remainder and the quotient using synthetic division, and write your answer in quotient…

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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.

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Q: 11 Based on the Remainder Theorem, what is the remainder when 2x - 3x- 4xr+7 is divided by X-1? A. 0…

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Q: Find the quotient using synthetic division. 39. (3x-20x +26x – 10) ÷ (x- 5) 40. (3x* +10x – 15x²…

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Q: Josie was asked to find the quotient of p4 - 4p? – 7p + 8 by Synthetic Division. p- 3 Follow Josie's…

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Q: Completly factorize x5 + 4x4 + 7x³ + 8x² + 4x + 2 in Q[x]. Justify that the found factors are…

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Q: If the bottom row as a result of synthetic division is 3 0 4 0 1, then the quotient is which of the…

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

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Q: To show that x = -3 is a solution of the given equation, divide f(x) = x -37x - 84 by (x + 3) using…

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

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Q: 4. When the polynomial P(x) is divided by (x-2)2 the remainder is 3x - 3. What is the remainder when…

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Q: 9. Use the Factor Theorem to explain if x + 3 is a factor of x³ + 2x² – 3x + 5.

A: To use the factor theorem to explain if x+3 is a factor of x^3+2x^2-3x+5

Q: 1. Is (x – 3) a factor of the polynomial p(x) = x' – 11x + 6? Why or why not? 2. What is the…

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Q: If the result of a polynomial division is  2x^3-4x^2-5x+23/X+2 make at least three definitive…

A: Given result of the polynomial is- 2x3-4x2-5x+23x+2 Here, Quotient = 2x3-4x2-5x Remainder = 23…

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

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Q: What is the result when 16x + 4x° - 14x2 - 23x - 3 is divided by 4x2 1? If there is a remainder,…

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Q: Apply the remainder theorem and use synthetic division to determine p (4) when p (x) = 4x – 6x² + 3x…

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Q: Use synthetic division:(2x^3 - 5x - 7) ÷ (x - 2) O 2x3 - 4x2 +3x - 13 2x3 + 4x2 +3x - 1 O 2x2 - 4x +…

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

A: concept : when f(x) is divided by x-a then  Remainder is f(a).

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

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Q: Consider the following polynomial. m12,3 - n³z12 (a) Can the polynomial be treated as the difference…

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Q: 4. What is the dividend if the divisor is x- 3, the quotient is -2x* + 4x - 6x + 3, and the…

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Q: What is the result when 2x- 13x2 - 5x - 14 is divided by x- 7? If r(x) there is a remainder, express…

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Q: By what polynomial must x3-4 x2y+5xy2-2y3 be divided to obtain a quotient of x-y?

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Q: If 2x³ 2x² - 9x² + 4x 7 is divided by x - 3 to give a quotient of 3x - 5 and a remainder of -22,…

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Q: In Z,[x] The quotient when 5x* + 3x² + 1 is divided by 3x² + 2x + 1 is_ 4x² + 3x + 6 . a) True b)…

A: Note: We are allowed to solve only one question at a time kindly upload other questions as different…

Q: Use synthetic division and the Remainder Theorem to evaluate P(c)P(c), where…

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Q: Use the remalnder theorem to find P(-3) for P(x)=x'+2x-4x+3. Specifically, give the quotient and the…

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Q: Suppose p () = x³ - 2x2 +13x + k The remainder of the division of p (z) by (x+1) is -8. What is the…

A: The given polynomial is P(x)=x3-2x2+13x+k It is given that the division of p(x) by (x+1) is -8 .

Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = 3x + 14x - 2x + 8, c = 5…

A: Given, P(x)= 3x³+14x²-2x+8 c= 5 We know that, Remainder Theorem states that, P(c)= P(x)/(x-c)