Use long division to find the quotient and remainder when f(x) — —8а5 + ба4 — 43 + 5а? — 9х + 4 - is divided by g(х) — — 12? —За — 9. - - The quotient is The remainder is

Q: Determine values of a and b for 3x^4 - 12x^3 +ax^2 + 34x + b when (x-4) is a factor and there is a…

A: If x-a is a factor of f(x) , then f(a)=0 .

Q: Use synthetic division to find the quotient and remainder when: -x^4+2x^3+12x^2-16 is divided by x…

A: Synthetic division is a method used to perform the division operation on polynomial when the divisor…

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

A: Perform long division method

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

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Q: Make up two polynomials, not of the same degree, with thefollowing characteristics: crosses the…

A: Here it is given that Polynomial  crosses the x-axis at - 2  touchesthe x-axis at 1, and is above…

Q: Use the long division method to find the result when 4x³ – 26x² + 13x – 6 is r(x) divided by x – 6.…

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Q: Determine all the roots the following polynomial 24 – 2z3 + 10z² – 18z + 9 if one of the root is -j3

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Q: Use long division to verify that y1 = y2.

A: To use the long division, write the missed terms of the dividend with zero coefficients. Divide the…

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

A:

Q: (b) Generalize the remainder theorem to work for lm.d if m 7 0 instead of only l1,-k. In other…

A: b) We want to find the remainder after dividing f by lm,d if m≠0. Where f is a polynomial and lm,d…

Q: To divide 2x 5x +1 by x + 3 using synthetic division, the first step is to write -

A: To divide 2x3-5x+1 by x+3 using synthetic division

Q: Express as a polynomial. (t 2 + 2t - 5)(3t 2 - t + 2)

A: Given: t2+2t-53t2-t+2 For the polynomial, we solve the parenthesis,…

Q: What is the remainder when dividing x2 + x + 7 by x – 1?

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Q: Find the quotient and remainder using synthetic division: x^3+3x^2−9 over x+2

A: Solution:- Write the problem in a division-like format. We have to do this: Take the constant term…

Q: Use synthetic division to find the quotient and remainder when  x4 − 9x2 + 3x + 4  is divided by…

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Q: Which polynomial function would have the end behaviour of as x →to, y →o?

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Q: What is the remainder when f(x) =x3 - 2x2 +4x -21 is divided by x - 3? Is x - 3 a factor of f(x)?

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Q: find the quotient and remainder f (x)=x4+x2+6x-10 is divided by x+2

A: Given function is Divisor is

Q: Find the remainder when x51 is divided by x + 4 in Z7[x].

A:

Q: Use synthetic division to divide x + x + 3x – 2 by x – 1 1. 3 -2 The quotient is: The remainder is:

A:

Q: Use synthetic division to divide 3r + 2 into 9r +11a2 - 11x - 8

A: Given that:9x4+11x2-11x-8 to be divided by 3x+2.

Q: Use synthetic division to divide x – x* + 5x° – 5x2 + 7x – 16 by a – 1 - The quotient is The…

A: Given query is to perform synthetic division.

Q: Use synthetic division to find the quotient and the remainder  x^4-3x^2+4x+1 divided by x-1 is equal

A: The given equation is

Q: for (x)=15x^4+10x^3-6x^2+14 show that (3) is equal to the remainder when you divide(x) by (x-3)

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Q: 5. Use synthetic division Divide 6y5 – 2y³ + 4y? by y - 2

A: Given that divide 6y5-2y3+4y2 by y-2. The objective is to divide the given functions using the…

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

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Q: Find the remainder when x^2021 is divided by x-1 in Z_7 [x]

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Q: 2. For 5a + 30z – 40z? + 36x + 14 and c = -7, find P(c) using the Remainder Theorem.

A: we have to find p(c) by using remainder theorem

Q: Solve the polynomials 3y-{[-4(x-y)+(2x - y)]-3x -[(5y-3(x-2y)]-2(-6x + y)}

A: Given polynomial,  3y-{[-4(x-y)+(2x - y)]-3x -[(5y-3(x-2y)]-2(-6x + y)}

Q: How many zeros does the polynomial 3x2 + 2x + 1 have in Z6?  I thought it was three but that was…

A: Solution: Given Polynomial is  3x2+2x+1   over  ℤ6

Q: 1. [K2] Without dividing, determine the remainder when P(x) = 10x3 – 9x2 – 8x + 11 is divided by 5x…

A: We use remainder theorem for calculating the remainder.

Q: The polynomial p(x) has the rest (x+2) when dividing it by (x^2+2x-3) and the rest 1 when dividing…

A: We have given that  p(x) leaves the remainder (x+2) when divided by x2+2x-3 and  p(x) leaves the…

Q: Divide x2+9x +20 by x +5 by using long division. Assume no divisor is 0.

A: Writing the expression as x2+9x+20 x+5We have to find out the result using long dividion method…

Q: The problem involve the Remainder Theorem.

A: Given, P(x)=x500+6x101-x2-2x+4 We know by remainder theorem ,if a Polynomial function P(x) is…

Q: The problem involve the Remainder Theorem.

A:

Q: 7. For what value of b will the polynomial f(x) = -23 + b? remainder when divided byr-2 and r+1. 5x…

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

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Q: Perform the Synthetic Division for the following: m3+4m2+9m+10=0 Show complete solution.

A: The given equation is m3+4m2+9m+10=0

Q: y stretched vertically by a factor of 3 52 y- x -1, compressed horizontally by a factor of 2

A:

Q: 4 Use synthetic division to find the quotient and remainder when x + 2x³ - 7x² + 5x + 12 is divided…

A:

Q: 5. If the remainder dividing the polynomial P(x) = 2x³ + kx? + 7x +6 by x- 4 is 114, find the…

A: Quotient Remainder theorem  The answer after we divide one number by another. dividend ÷ divisor =…

Q: Use synthetic division to find the quotient and remainder when -4x" + 12x+ 18x 14x + 24 is divided…

A:

Q: Find the quotient and remainder using long division for x^2+5x+11 over x+3. what is the quotient?…

A: To find the quotient and remainder using long division

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: 5- By using Bisection method to find a root of the equation x3 – 4x – 8.95 = 0, a root lies between…

A: By using Bisection method of root finding,the root of given equation lies in (C) a=2 and b=3…

Q: The revenue from the sale of a product is given by R=1258x-87x^(2)-x^(3)If the sale of 6 units gives…

A: Rx=1258x-87x2-x3 Now put Rx=4200, we get 4200=1258x-87x2-x3⇒x3+87x2-1258x+4200=0 Now given that the…

Q: The number of tickets sold each day for an upcoming performance of Handel's Messiah is given by N(x)…

A: We use second derivative test to find out number of days where tickets sell at peak

Q: 2n b) The polynomial, fW =2x" +mx-3, where m and n are real constants, %3D is divisible by (x+1) but…

A: