Choose the division problem that cannot be done using synthetic division. (a) 2x – 4x? + 6x – 8 is divided by x - 8 (c) x + 3x² – 9x + 2 is divided by x + 10 (b) x* – 3 is divided by x + 1 (d) x* – 5x + 3x² – 9x + 13 is divided by x + 5

Q: 3. Factor x – 21 x – 20 completely by using synthetic division if one of the factors is (x + 4)

A: Consider the given expression as x3-21x-20 and one linear factor is x+4. Equate the linear factor to…

Q: 2. Calculate (4x³ – 6x² – 14) (x + 6) using long division. Show your work! -

A: Perform long division method

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

A: topic - synthetic division

Q: If x4 −2x3 −12x2 +10x+ 3 = 0 has the roots 1 and −3,

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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: If  x3 + 7x - a has a remainder of 1 when divided by x+1 then a has a value of __?

A: Please refer the attached image for complete solution.

Q: Use synthetic division to divide P(x)=7x3+13x2−23x+3P(x)=7x3+13x2-23x+3 by x = 17

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Q: Is x+2 a factor of x^5+8x^4−6x^3−3x^2−7x−146

A: To prove that x+2 is factor of given equation.

Q: 8. Is (x - 6 ) a factor of x^3 - 4x^2 + 2x +36 ? Use synthetic division and watch the remainder. *

A: To find the remainder

Q: If 3x + ax +3x+2 leaves a remainder of 4 on division by (3x-1), find a. Example: x=3;x-5

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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: x*+x²+ 6x + 5- x - (-8 + 5x² + x* – x) ÷ (x – 1) 8.

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Q: What should be the order of the polynomial coefficients (the top row of your synthetic division…

A: We know that; Order of the polynomial coefficients in the top row of division = Order of Dividend -…

Q: Explain how the Remainder Theorem can be used to find f(-6) if f(x) = x4 + 7x3 + 8x2 + 11x + 5. What…

A: Given that, f(x)=x4+7x3+8x2+11x+5

Q: What does it mean to have a remainder of 0? This pertains to Division with Polynomials.

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Q: Find the quotient and remainder using synthetic division for: x3+6x2+16x+18 over x+2

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Q: If the remainder on dividing the polynomial 2x* – kx +5x-3k+3 by (x + 2) is 4, then find the value…

A: Use the given information.

Q: 9. Divide the polynomial 2r – 5x² – 4x + 3 by r +1 using synthetic division. What is the quotient?

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Q: 8. Verify that (x2 - 1) + is a valid result for the x4 +3x2+4 polynomial long-division calculation…

A: Given : The divide the  polynomial x 6 + 2x4 + 2x2 - 4 by the polynomial  x4 + 3x2 + 4 . Result : x2…

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: 10. Use synthetic division to divide. a. (4x + x2 – 11x + 6) + (x + 2) b. (24 + 5x + 22x – 27x2) +…

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Q: Use synthetic division to find the result when 3 - 8x2 - 10x + 21 is divided by -3. If there is a…

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Q: 2. If the result of a polynomial division is 2x³ – 4x² – 5x + - ,make at least three x + 2…

A: Given the result of a polynomial division f(x)=2x3-4x2-5x+23x+2. Remainder theorem: The remainder of…

Q: 2. Use synthetic division to divide 3x³ – 5x + 10 by x – 1.

A: Given 3x3-5x+10x-1Use synthetic Division to Divide

Q: 2. Use Synthetic Division to find the quotient and remainder: x³ – 6x² + 5x + 15 is divided by x + 1

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Q: 3. Use synthetic division to divide 6x5 - 12xª + x² – 7x + 10 by x-2

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Q: a) Use synthetic division to find the quotient and remainder when x4  4x2  2x  5 isdivided by x …

A: To find the quotient and remainder when a polynomial is divided by another polynomial using…

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

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Q: What is the remainder of the division (x100 - x99 - x + 1) / (x2 - 3x + 2)

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Q: if the result of a polynomial division is 2x3 - 4x2 - 5x +  23/ x +2 make at least three definitivve…

A: Given that the result of a polynomial division is 2x3 - 4x2 - 5x +  23/ x +2. Here, Divisor = x +2…

Q: 2. Using either long division or synthetic division: x4 _3x³+æ²+6x–10 x-2

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Q: Use synthetic division to divide the first polynomial by the second. 2x^4-8^3+14x^2-14x+4…

A: Given, Divident- 2x^4-8^3+14x^2-14x+4 = 2x^4+14x^2-14x-508 Coefficients of (x⁴,x³,x²,x,x⁰) is given…

Q: 4. Use synthetic division to divide 4x- 24x+ 18x + 6x + 29 by x- 5. Express in terms of quotient,…

A: Synthetic division

Q: 2) When a polynomial, ax-3x² - bx - 5 is divided by the binomial (x-3), the remainder is 10. When…

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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: When px3 3 32x 2 − 10x + r is divided by (x x 2), the remainder is exactly the same as when it is…

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Q: In using the synthetic division method to divide (3x5 -2x4 + 2x2 -3x + 5) by (x+4), the order for…

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Q: Choose the division problem that cannot be done using synthetic division.(a) 2x3 - 4x2 + 6x - 8 is…

A: It is known that the synthetic division can be used only when the divisor is linear.

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: Use synthetic division to show that when xn-bn is divided by x-b, where n is a positive integer, the…

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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: 2. If the result of a polynomial division is 2x3 – 4x? – 5x + 23 ,make at least three x+ 2…

A: The given result of a polynomial division is 2x3-4x2-5x+23x+2. Observe the following. Quotient,…

Q: 2. Use long division to determine if (x- 8) Is a factor of P(x) = x -7x- 11. 3. What is the quotient…

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Q: If the result of a polynomial division is 2x - 4x2- 5x + 23 make at least three definitive x+2…

A: Answer

Q: Divide the polynomial -5x^2-2+3x+2x^4 +4x^3 by 2x-3+x^2, and check the result 2) Divide the…

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Q: Sum of 4x28X+3 and -2x+10x-2 -

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Q: 5. A friend was working on the problem: (10x³ + 18.x2 + 3x- 1) ÷ (5x + 4). 3 They got 2x² + 2x 1+ as…

A: From the exponents concept

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

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Q: 6.When a polynomial x4+x3-10x2-1 is divided by another polynomial, the quotient is x3-3x2+2x-8 and…

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Q: How can I divide x4 + x3 - 11x2 - 5x + 30 by x - 2 using long division?

A: Topic:- Algebra