24 – 4x3 + 4² + 2x + 1 Perform the long division - Identify the quotient and remainder. I – 3 q(x) = r =

Q: f the polynomials ax + 4x2 + 3x-4 and x-4x+ a leave the same remainder when divided by (x-3), find…

A: Given  ax3+4x2+3x-4 and x3-4x+a when divided by x-3, leaves the same remainder.

Q: (a) Use synthetic division to find the quotient and remainder when x* - 9x² + 3x + 6 is divided by x…

A: We need to find out the quotient  and remainder .

Q: Two polynomial P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

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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: The remainder R(x) in the following long division is x² – 2 3x +5 3x3 + 5x2 – 6x – 1 3x3 + 5x2 — 6х…

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Q: (7r + ェ2+z) + (z2+ 1)

A: 7x3+x2+x÷x2+1

Q: Find 2) (x) using long division for f(x) = x? + 8x + 16 g(x) = x + 3 The quotient is The remainder…

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Q: 4x + 4x2 +x + 1 Perform the long division Identify the quotient and remainder. x - 3 q(x) = r =

A: x4-4x3+4x2+x+1x-3

Q: 10. Find the remainder of the given polynomial functions. Identify any restrictions. a) 11x-4x-7…

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Q: P(x)=x4 +7x3+12x2+11x+34  dividing the polynomial by x+5, find the quotient and the remainder with…

A: HORNER's THEOREM:  To Divide the polynomial f(x)=anxn+an-1xn-1+⋯⋯⋯⋯+a1x+a0 with other polynomial…

Q: e synthetic division to divide the polynomials. 4x - 6x* + 56x - 237x+52x- 21 x-3

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

A: Answer

Q: Let P() = 2- 2x2+ 3x-4x. Use synthetic division to find the value P(2i).

A: Given,         Px=2-2x2+3x5-4x3

Q: The graph of f(x) = 6x – 19x? + 16x – 4 is shown in the figure. f(x) = 6x - 19x + 16x - 4 y 1+ -1…

A: Given: f(x)=6x3−19x2+16x−4

Q: Dividing the polynomial P(x) by x-1 yields a quotient Q(x) and a remainder of 4.  If Q(-1)=3, Find…

A: P(x) =Q(x) (x-c) + R(x)when the factor is (x-1)R(x)=4P(x)=Q(x) (x-1)+4P(1) =0 +4P(1) =4

Q: 3. Given the polynomial P(x) =x4- 2r3-7x2+ 18x- 18 a. Without long division, find the remainder if…

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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: 1. Use synthetic division to find to find each quotient. Write your answer in the form of R(x) f(x)…

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Q: P(x) = 3x – 4x +2x? + 3x - 6 How many real zeros does the above polynomial have?

A: A real zero of a function is a real number that makes the value of the function equal to zero.…

Q: 4x' + 2x2 - - 35x - 15 Use synthetic division to simplify X + 3 Write your answer in the form g(x) +…

A: I am attaching image so that you understand each and every step.

Q: Express in long division

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Q: Use synthetic division to find (9x + 26x² + 21x - 33) (x + 2). Write your answer in the form q(x) +…

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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: Consider the polynomial Division (x3+5x2-7x−4)÷(x−2) The correct Answer is: hint the answers…

A: x3+5x2-7x-4÷x-2 On dividing, we get x-2)x3+5x2-7x-4(x2+7x+7        x3-2x2               7x2-7x…

Q: Use synthetic division to perform the d x4 +81 x-3 81 O A. x3 + 3x2 + 9x + 27 + x- 3 162 O B. x3 -…

A: We have, x4+81x-3

Q: 6. GIVEN: PX)=6x=25x410x²+40x216x-15 FIND: SHOW SYNTHETIC DIVISION AS PROOF OF ZEROS. a) ALL ZEROS :…

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Q: 4 Use synthetic division to find the guotient and remainder when 6x + 19x 4x + 15 is divided by x+3…

A: Follow next step

Q: 3. Given the polynomial P(x) =x+– 2x³– 7x²+ 18x- 18 a. Without long division, find the remainder if…

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Q: consider the polynomial equation P(x)=x^5 + 3x^4-25x^3-79x^2+100=0. Use synthetic division to…

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Q: 5. (3x + x + 3x - 6) + (3x + 5) 6. (4x' + 3x - 3x - 5) + (4x-7)

A: Solve the above questions.

Q: 1. [K5] Use long division to divide 4x* – 2x² - 1 by x – 1. Then write the associated division…

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Q: Consider the polynomial Division (x3+3x2-5x+7 )÷(x-3) The correct Answer is: hint the answers…

A: Given, x3+3x2-5x+7÷x-3

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: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by Dx), and…

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

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

Q: 2. Use synthetic division to divide the first polynomial by the second. а. х? +x-33B х-1 b. 4x -Зx2…

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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: The polynomial p(x) = x°- 21x – 20 has a known factor of (x- 5). %3D | Rewrite p(x) as a product of…

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Q: 1. What is the degree of this polynomial ? -2x^2 + 9x^4 - 7x^3 - 12x + 8 *

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Q: Lawrence will divide an 10th degree polynomial in x by (x – 2) using synthetic division. How many…

A: Answer is 11. Because constant term is consider as zero degree.therefore there are 11 term in 10…

Q: 10. An equation of a polynomial with zeroes: -1 (order 2), 2 order (3) and O is 11. The remainder of…

A: As per the company guidelines we can solve first three parts . I hope that the given solution will…

Q: P(x) = 3x – 4x3 + 2x² + 3x - 6 How many zeros does the above polynomial have?

A: We have to find zeros

Q: 0. Use the Factor Theorem and synthetic division to find the zeros of: 3x° +11x2 + 8x - 4 if (x + 2)…

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Q: Find the quotient and remainder using the given method. a) x^3 - 7x - 9 divided by x^2 + x +1 (long…

A: We have to solve

Q: 7. Use the polynomial long division to perform the indicated division. Wri p(x) = d(x)g(x) +r(x).|…

A: Use long division method to evaluate: x4+7x3+17x2+20x+13÷x2+4

Q: • Consider the polynomial P(x) = x³ – 4x² + ax – 3. Find a if, when P(x) is divided by r +1, the…

A: I am just solving the first  two question (1) Given that the polynomial P(x) = x3-4x2+ax-3 , is…

Q: Find k such that the remainder of the division 6 – x² – 14.r + k: 3x – 2 is -2. Your solution should…

A: 3x-22x2+x-46x3-x2-14x+k-6x3+4x23x2-14x+k-3x2+2x-12x+k12x-8k-8 So the quotient is = 2x2+x-4 And…

Q: Use polynomial long division to evaluate the following quotients.Show your work. (a) x² – 3x + 7 x –…

A: Since you have posted multiple questions we will solve the first question for you. To get the other…

Q: 3. Use the remainder Theorem (synthetic division) to find P(5). P(x) = x* + 4x' + 7x? +10x+15

A: We have to find

Q: 15. Given the polynomial x + 3x - 10x 24 , use synthetic division a). write all the factors of the…

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