When performing the division (x5 + 1) ÷ (x + 1), there’s no need for me to follow all the steps involved in polynomial long division because I can work the problem in my head and see that the quotient must be x4 + 1.Determine whether the statement makes sense or does not make sense, and explain your reasoning.

Q: Use synthetic division to divide. (Simplify your answer completely.) (3x3 – 27x2 + 50x – 56) ÷ (x –…

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Q: What is the remainder when f(x) = x' - 22x 16x - 161 is divided by (x - 40)?

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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: What polynomial should be added to 2x-5 so that the sum is zero?

A: Solution...

Q: Use polynomial long division to divide 4x2 + 23x – 16 by x + 5. What is the quotient and remainder?

A: In long divide method , You need to eliminate the highest term available by dividing.

Q: What is the remainder when x³-2x²-4x-3 is divided by x-2?

A: Remainder theorem states, when a polynomial f(x) is divided by a linear factor x-a, then the…

Q: What is the remainder when 2x– 3 +x- 1 is divided by x - 3?

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Q: What is the remainder when f(x)=x3−22x2−16x−161f(x)=x3−22x2−16x−161 is divided by (x−33)(x−33)?

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Q: When x3+3x2-2x+7 is divided by x+1, what is the remainder?

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

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Q: What is the quotient when (2x^4 + 4x^3 – 5x^2 + 2x – 3) is divided by (2x^2 + 1) using long…

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Q: When doing synthetic division (5x5 - 12a3 + 6æ? + 13) (x+2)

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Q: Find the remainder when polynomial x^5 -6x^3+2x^2+18 is divided by (x-2)

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Q: what are the possible rational roots for the polynomial 6x3+17x2-31x-12?

A: Given,  Polynomial => 6x3 + 17x2 - 31x - 12 .

Q: Use synthetic division to show that 5 is a solution of x* - 4x – 9x² + 16x + 20 = 0. Then solve the…

A: To show that 5 is a solution of, x4-4x3-9x2+16x+20=0

Q: 8x4–16x3+9x² – 6x+4 y = 2x3+5

A: using long polynomial division method to solve

Q: What is the number of terms in the polynomial (2a - 5)(a^2 -1)?

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Q: What is the result when 3x+ 2x-15x2 + 10 is divided by x - 1? If | - there is a remainder, express…

A: Given that: 3x4+2x3-15x2+10 is divided by x-1

Q: Is the expression 4x3 - 3.6x2 - 22 a polynomial? If so,what is its degree?

A: 4x3-3.6x2-22 is polynomial because the powers are positive.

Q: The area of a rectangle is 2x^3+5x^2-x-6 sq m. Write a polynomial that represents its width if its…

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Q: What is the result when 2x + 3x? 6x 16 is divided by x- 2?

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Q: What is the remainder when f(x) = 2x20 - 8x10 + x - 2 is divided by x - 1?

A: Given : The polynomial is  2x20 - 8x10 + x - 2 and dividend is x - 1.

Q: Find the quotient of the polynomials using SYNTHETIC DIVISION. Show your solution. (2x + x3 + 7x2 -…

A: We need to find the quotient of the polynomials using SYNTHETIC DIVISION (2x + x3 + 7x2 - 40) ÷ ( x…

Q: What is the remainder when 4x2 - 6x +1 is divided by (2x- 1)

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Q: What is the result when 2x4 + 2x - 8x2 3x + 14 is divided by x + 2? If there is a remainder, express…

A: We will divide 2x4+2x3-8x2-3x+14 is divided by x+2. So, we need to evaluate 2x4+2x3-8x2-3x+14x+2.…

Q: When 2x2 - 7x + 9 is divided by a polynomial, the quotient is 2x - 3 and the remainder is 3. Find…

A: We know that Dividend = (Divisor) (Quotient) + Remainder

Q: snip

A: Our Aim is to tell that what will be the remainder when f(x)=2x20-8x10+x-2is divided by x-1.

Q: Determine whether the statement makes sense or does not make sense, and explain yourreasoning: "When…

A: We have to determine whether the statement makes sense or does not make sense, and explain your…

Q: Can you always use synthetic division for dividing polynomials? Explain why or why not?

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Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning:…

A: Given divide condition -x5+1÷x+1If we dont do the long divide precidure and thinks in  our mind that…

Q: What is the remainder when f(x)=x^3−22x^2−16x−161f(x)=x3−22x2−16x−161 is divided by (x−37)?

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Q: Use the long division method to find the result when 2x - 3a2 + 3x + 8 is divided by a+1.

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Q: (2x – 10x + x- 2) ÷ (x+ 1)

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Q: What is the result when x4 2x – 8x2 + 22x + 6 is divided by - x² – 6? If there is a remainder,…

A: Simplify: x4-2x3-8x2+22x+6x2-6

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

A: Solution:-

Q: what is the power of the polynomial (2x-1)¹⁰×(3x+3)⁹?

A: Let, f(x) and g(x) are linear functions of x .       The polynomial {f(x)}m.{g(x)}n   The power of…

Q: The problem involve the Remainder Theorem.

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Q: What is the remainder when x - 5x +3x2 - s 2x +7 is divided by (x - 1)?

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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: 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: Can you always use synthetic division for dividing polynomials?

A: You can use synthetic division whenever you need to divide a polynomial function by a binomial of…

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

A: Answer

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

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Q: What is the remainder when (x3 -x +2)  is divided by (x-4)?

A: We need to find the remainder when (x3 -x +2)  is divided by (x-4). So,…

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

A: Topic:- Algebra

Q: What is the remainder when  x3 +x2 -x -1 is divided by x+1 ?

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Q: Use synthetic division to find the quotient and remainder when -x' + 11lx - 14 is divided by x- 2.…

A: We have to perform the synthetic division to find quotient and remainder.

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…

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.