11) Use long division to divide (3x² – 14x – 5) by (x – 5). Is x – 5 a factor of 3x2 – 14x – 5? Justify your answer.

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: +2x-2 h(x) 5x +

A:

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

A: Perform long division method

Q: Use synthetic division to perform the division.   x^3+5x^2+8x+6 over x+3

A:

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

A:

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

A:

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: 8. Calculate (x* - 12x³ + 6x² – 9x + 15) + (x + 2) using long division.

A:

Q: Use synthetic division to factor the polynomial x^3+3x^2-10x-24 completely if 3 is a zero.

A:

Q: 4. If x=-4 and x=1 are the roots of x* + 3x' - 3x +3x – 4 = 0, find the other two roots of the…

A:

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: 2. If the result of a polynomial division is 2x³ – 4x² – 5x + 23 make at least three x + 2'…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 9) Is x-2 a factor of x3 - 13x + 12?

A: To determine whether x-2 is a factor of x3-13x+12.

Q: 1. Use long division to find each quotient. Divide the first polynomial by the second. 6x + 11x2-…

A:

Q: 18. Divide using synthetic division. Clearly state the quotient and remainder. (7x* + 6x² –11x +…

A:

Q: 9. When the polynomial mx' – 3x² + nx +4 is divided by x - 3, the remainder is 16. When it is…

A:

Q: Use synthetic division to find the result when 3x + 19x2 + x -21 is divided by x + 6. If there is a…

A: Polynomial is written in asked format using synthetic division.

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: Use synthetic division to divide 4x4 – x2 – 19x +7 by x – 2. - Write just the numbers of the 3rd row…

A:

Q: The polynomial -6x + 50x+ ax+ 24 has factors x-1 and 2x + 1. Determine the value of a.

A: Suppose px be the given polynomial such that px=-6x3+50x2+ax+24 And the factors of the polynomial…

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?

A:

Q: 2. Use polynomial synthetic division to evaluate the following quotients. Show your work. (a) (4г? —…

A: Given  (a) 4x2-3x-7÷x-12 (b) 2x2-5x+3x-3 (c) x3-8x+2x+3

Q: To divide x + 5x² – 7x + 1 by x – 4 using synthetic division, the first step is to write

A: Given: To divide x3+5x2-7x+1 by x-4 first step to write

Q: 9) Is x-2 a factor of x3 – 13x + 12?

A:

Q: The value of r for which x2 - rx - 2 and x3 + x2 - x - 1 have a common factor is?

A: Given two equations x2-rx-2=0 and x3+x2-x-1=0

Q: Prove that (x+2) is a factor of 3x'+8x+x-6 and find the other factor.

A: we have to find factor of the polinomial

Q: Use synthetic division to factor f(x) 3 5x – 22x + 56 given f(2) = 0 -

A: Given function When x=2 the value of f(x) is 0 2 is the zero for f(x). Use 2 for synthetic division

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

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

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

A:

Q: 2. Use synthetic division to write f(x)=x4 – 2x3 – 49x? – 22x + 240 in completely factored form.

A:

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

A:

Q: (6x* + 10z³ + 5x² + x + 1) ÷ (x + ,) 31

A: Use Synthetic division to find quotient

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

A:

Q: Is x+ 4 a factor of f(x) = x5 + 10x4 + 29x3 – 28x2 (Use Synthetic Division in conjunction with the…

A:

Q: Use synthetic division to divide r 3 into 4x4 – 14x3 + 7a2 + 2x – 11

A:

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: 12.-/1 pointsLarPreCalcRMRP72.3.028.MI. Use synthetic division to divide. (6x + 3x + 8) + (x+2) to

A:

Q: Used synthetic dIVision to find the other factors o 1. (2x + x³ + 7x² – 40), (x – 2) 2. (-9x² + 2x³+…

A: Use synthetic division to solve

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

A:

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

A:

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: 1. Use the Product Rule to find for y=(4x'-3x)(2x* +5).

A: Given          y=(4x3-3x5)(2x-6+5)          find dydxx=1Product rule :- Product rule states…

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

A:

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

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: 1.  Use synthetic division to perform the division 4x3−15x2+10x−10 / x−1.

A:

Q: 5. (6) Use synthetic division to divide x - 13x – 120x + 80 by x+3. Then find the remaining factors

A:

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.