1. What is the remainder when a. − 3x^3+ 2x^2 − 5x + 8 is divided by x − 4 b. 4x^4 − x^3+ 12x^2 + 24 is divided by x + 3 2. Which of the following are factors of – x^3− 5x^2 − 3x + 9 a. x − 1 b. x − 3 c. x + 1 d. (x + 3)

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

A: topic - synthetic division

Q: 2. Determine the quotient and remainder. (3x* – 5x' +x² -x-1) + (x² – 2x)

A: Given: Using long division,

Q: 3. Use synthetic division to divide 3x +2 into 9x4 + 11x? – 11x - 8

A: To find using synthetic division to divide 3x+2into 9x4+11x22-11x-8

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

A:

Q: 7) Express as a product in simplest form: 4y/10x y3 - 2x/6xy

A: The given expression can be written as:  4y10x5y2.2x6xy The simplified form will be: ⇒8xy10x5y2.6xy⇒…

Q: For what value of a will five of the six real roots of 6xº + 7x3 – 43.r – 153 + 4922 + ax polynomial…

A: suppose

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

A: To choose which of the given division problems cannot be done using synthetic division. Synthetic…

Q: 2x4 + 5x3 – 2x – 8 is divided by x + 3

A: In the given problem, Dividend, D=2x4+5x3-2x-8Divisor, d=x+3 Equate the divisor to zero, x+3=0⇒x=-3…

Q: 33. Express in simplest radical form. 3³x¹y O 3√x³y O√3x³y O√81x¹y³ O 81√2y³

A:

Q: -Divide the following rational expression. x² - 8x + 15 x² - 3x- 10 x² +3x-4 x2 +6x +8

A: First we need to factories numerator and denominator by middle/AC method

Q: If (7.x* – 5x – 7xº + 2.x-3) is divided by (x+ 3) using synthetic division, the numbers in the first…

A:

Q: 29. Simplify (1+ x)(1+x²)(1 – x +x²) in descending order 30. The factors of 2x3 + 3x² – 5x – 6 are

A: Using multiplication of two brackets for 29 Using method of synthetic division for 30

Q: 1 Integrate the following fraction: 2x2+12x+32

A:

Q: 7. Divide using synthetic division: + 5x - 6x - 11x + 14) (x+4)

A:

Q: The remainder upon the division of x 98 + 4 by x - 2 in z, is: 1 6. None

A:

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

A:

Q: 3. If one of the factors of (x2 + 12x + 20)is (x + 10). Find the other factor

A:

Q: The remainder upon the division of x98 + 4 by x – 2 in Z, is: O 1 O 5 None

A: Find zero of x-2 and use it to solve given problem.

Q: Determine which expression is the correct rationalization of the numerator of Vx+1-5 x+ 24 x+1 +5 x-…

A:

Q: Three possible products whose factors multiply to  − 2 are

A: Consider x, y, and z as the three factors of the product -2. The possible values for the three…

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

A:

Q: Find the quotient using synthetic division. 39. (3x-20x +26x – 10) ÷ (x- 5) 40. (3x* +10x – 15x²…

A:

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

A:

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: Show that 12 2 dr = In (7+ 4v3). x² – 8x

A:

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

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

Q: When dividing x^3+2x+4 by 3x+2 in Z7[x], the remainder is * O 4 O None of the choices 2.

A:

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

A:

Q: The remainder upon the division of x98 +4 by x - 2 in z, is: 6. None

A:

Q: #9. USE SYNTHETIC DIVISION TO FIND THE QUOTIENT AND REMAINDER а. x – 8x – 5; x + 3 - 3x + 1; - 8 -…

A:

Q: Which statement about 6x + 7x – 10 is true? O One of the factors is (x + 2). O One of the factors is…

A: To factorise ax2+bx+cwe have to break 'b' in such a waythat sum is 'b' & the product is ac.

Q: What is the remainder when (5x^100 + 5) is divided by (x – 1)? * - 10 5 10 - 5 Factor:…

A:

Q: Select ALL steps that would need to be used when dividing the rational expres 73+3x2+2x x2+5x+6 ? x2…

A:

Q: If the result of a polynomial division is  2x^3-4x^2-5x+23/X+2 make at least three definitive…

A: Given result of the polynomial is- 2x3-4x2-5x+23x+2 Here, Quotient = 2x3-4x2-5x Remainder = 23…

Q: Which of the following is the correct first row of the synthetic division when 3x-2x³-4 is divided…

A: We are going to solve

Q: The remainder upon the division of x 98 + 4 by x - 4 in Z, is: None

A: We find remainder in Z_7 of function f(x)=x^98 + 4 when divide by g(x)= x - 4

Q: Compute the quotient and the remainder of (3x – 8x² – 36x + 5) ÷ (x – 5)

A:

Q: 15) What are the factors of x2 - 81y2? A) (x+ 81y)(x - y) B) (x-9y)(x - 9y) C) (x+9y)(x - 9y) D)…

A:

Q: What are three possible products whose factors multiply to -2

A: To find  The three possible product whose factors are multiply to -2.

Q: Which of the following is the correct factorization of 27x3 - 1? O (3x - 1)(3x² + x + 1) O (3x +…

A:

Q: 4. What is the dividend if the divisor is x- 3, the quotient is -2x* + 4x - 6x + 3, and the…

A:

Q: If 2x³ 2x² - 9x² + 4x 7 is divided by x - 3 to give a quotient of 3x - 5 and a remainder of -22,…

A:

Q: 7) Express as a product in simplest form: 4y/10x5y³ . 2x/6xy

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Express the area of the polygon as a polynomial. 67. Rectangle 68. Right triangle 6x - 1 4x2 -1 x2 -…

A: The solution are next step

Q: 8 is subtracted from 2²+x-6 x2+9x+14 Which of the following is the most simplified, factored…

A: 1. To evaluate: x2+x−6x2+9x+14-8x+7 Factorizing and simplifying the denominator of first fraction we…

Q: 1. Which of the following gives the product 3x2 - 5x -- 2? C. (3x + 2)(x -- 1) D. (x + 2)(3x - 3) А.…

A:

Q: If when dividing 5x3+6x4-1 by x+3x2-2, a remainder of the mx+n form is obtained, calculate the value…

A:

Q: Simplify by removing factors of 1. R -1 12- 2t + 1 12 -1 t2 - 2t + 1

A: To simplify the fraction (t²-1)/(t²-2t+1)

Polynomials

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