35. Which polynomial equals (a-a-3) with a remainder of -3 when divided by (a-2)? А. а + За--а + 3 В. а3 С. а3 - За? +a+3 a- а + 3 D. a3 За?- а + 3 36. What is the value of k such that (x + 2) is a factor of (3x + kz? + 5x + 6)? А. 9 С. 7 В. 8 D. 10 37. When (2x*-7х3-15х? + 7kx- 21) is divided by (x - 3), the remainder is 6. What is the value of k? А. 21 В. 12 С. 9 D. 3 38. Factor 27x + 64 completely. А. (Зх + 4)(3x -12х + 16) B. (3x + 4)(9x²- 12x + 16) С. (3х + 4)(9х2-24х + 16) D. (3x + 4)(9x? + 12x + 16) 39. What is the factored form of (x* + x x)? А. x(х + 1)(x* + 1) В. (х+1)(x2 + 1) С. Х(х- 1)(х? + 1) D. x(x-1)(x - 1)

Q: Determine which of the following gives the simplified form of the polynomial expression (8z+ 4) (4z²…

A:

Q: Why is a polynomial be thought as adding terms, even if some coefficients are negative

A: Why is a polynomial be thought as adding terms, even if some coefficients are negative

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

A: topic - synthetic division

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: Express as a polynomial.

A: To express 13a2+4b13a2-4b as a polynomial. Solution: We have identity a+ba-b=a2-b2. Using the above…

Q: Choose the letter of the correct answer. Refer to the given polynomials (x4+3y3)(x4-5y3).

A: Given polynomials (x4+3y3)(x4-5y3).

Q: 5. The revenue of a company that makes toy cars is modeled by 4x +5x -40. The cost for making the…

A: Given: The revenue of a company that makes toy cars is modeled by 4x2+5x-40. The cost for making the…

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

A:

Q: Write an equation for the polynomial graphed bel 5+ 4+ 3+ 2+ 1- -5 4 -3 -2 2 3 4 5 -2+ -3 - -4+ -5+…

A: The polynomial has zeros at x= -4,-1,1, and 3, as the curve meet x-axis at x=-4,-1,1,3 Therefore,…

Q: .When a polynomial x4+x3-10x2-1 is divided by another polynomial, the quotient is x3-3x2+2x-8 and…

A: use the relation between dividend and divisor for finding the polynomial.

Q: Written as a simplified polynomial in standard form, what is the result when (2x + 4)² is subtracted…

A: Explanation of the solution is given below...

Q: What values for b make the polynomial 64z2 + bz + 1 a perfect square trinomial?: * A) b = -12,144 B)…

A: Given:- 64z2 +bz +1  To find:- Value of b which makes perfect square given polynomial

Q: What is true about the degree of the sum and difference of the polynomials 3x5y - 2x3y4 and - 8x5y +…

A: 3x5y - 2x3y4 and - 8x5y + 2x3y4 + xy3

Q: Suppose that the volume V of a cylindrical can is given by the polynomialV = nh3 + nh2+ 4nh, h is…

A: Given, Volume = πh3+πh2+4πh

Q: 2. Determine if the second polynomial is a factor of the first polynomial. f(x) = 2x' -11x² – 22x+7;…

A: (x-7) will be a factor of f(x) if on dividing f(x) by g(x) ,we get the remainder zero.

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

A:

Q: Express the perimeter of the polygon. 43. 44. 45. X-7 x2 - 8x 5x + 11 x2 + 4 x+5 5х-9 2x-3 10x - 4…

A: We need to find perimeter. NOTE - As per our guidelines we can only solve 3 subparts so please…

Q: When a polynomial x4+x3-10x2-1 is divided by another polynomial, the quotient is x3-3x2+2x-8 and the…

A: Polynomial (dividend) x4+x3-10x2-1 Remainder is 31 Polynomial (quotient) is x3 -3x2 +2x -8 To find…

Q: Find the polynomial to represent (3x-7)2. O 9r2 - 21x + 49 O 9x2 + 21x + 49 9z2 – 42x + 49 9x2 + 42x…

A: We have to find the polynomial which represents the given expression: 3x-72 We know the algebraic…

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

A:

Q: 8. Verify that (x2 - 1) + is a valid result for the x4 +3x2+4 polynomial long-division calculation…

A: Given : The divide the  polynomial x 6 + 2x4 + 2x2 - 4 by the polynomial  x4 + 3x2 + 4 . Result : x2…

Q: The polynomial 3x3 + mx2 - nx – 10  has a factor of x - 1. When divided by x + 2, the remainder is…

A:

Q: Stherwise it will not be considered. Multiply each rational expression. Solutions and Answers mast…

A:

Q: 3. Write down the polynomial having coordinates in B and the one with the same coordinates in B'.

A:

Q: 3. What is the number of coefficients of a polynomial of degree n in two variables? In three…

A: Given: A polynomial of degree n.

Q: what is the remainder in the polynomial 2x^4-5x^3+12x-7 divided by x-1

A: Perform the division:

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

A: Given the result of a polynomial division f(x)=2x3-4x2-5x+23x+2. Remainder theorem: The remainder of…

Q: A polynomial P ( x ) with real coefficients has 5 + 9 i as a zero. What other number must be a zero…

A: Comples zeroes of polynomial always come with conjugate pair. For example if a + b i is zero then a-…

Q: 23 – 522 – 9z + 45

A: Given: z3-5z2-9z+45

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

A:

Q: A local city wants to compare the number of those with a car and those without a car, represented by…

A: Given,          A local city wants to compare the number of those with a car and those without a…

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

A:

Q: Given the polynomial expression kz5- 2z4+ 3z3+ 5z2- 3z - 8, if k is a negative integer, how many…

A:

Q: Express as a polynomial. (5x + 7y)(3x - 2y)

A: Given that, the polynomial   (5x + 7y)(3x - 2y)   We need to  simplify the given polynomial.

Q: 29. Determine BER with the property that x+5 is a factor of the polynomial -3x- 10x + 20x2- 22x + B.

A:

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: y4- 3y2-28

A: The given polynomial is: y4-3y2-28 To factorize the polynomial.

Q: Consider the following polynomial. m12,3 - n³z12 (a) Can the polynomial be treated as the difference…

A:

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

A:

Q: 1.If the volume of a box is represented by the expression (x3 - 3x2 -10x + 24) cm3 and the width is…

A: Since you have Posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: What is the sum of the polynomials 1 - 2x + 3x^2 and 8x^2 + 30x - 6

A: sum of the polynomials 1 - 2x + 3x^2 and 8x^2 + 30x - 6 = 1 - 2x + 3x^2 + 8x^2 + 30x - 6

Q: If it is given that -5 is one of the roots of the polynomial z* + 9z3 + 21z² + pz – 130 = 0, find…

A:

Q: Use the grouping method to simplify the expression (x + 3)(x- 4). Distribute the factor, to the…

A: Given expression is x+3x−4. Distribute the first factor x+3 to the second factor x-4. So both terms…

Q: 15) Find the remainder of the polynomial 5x4 – 3x3 + 9x – 1 when divided by x + 3

A:

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: 6.When a polynomial x4+x3-10x2-1 is divided by another polynomial, the quotient is x3-3x2+2x-8 and…

A:

Q: Why 9(5-x)+y(5-x) is not a factored form of 45-9x+5y-xy ?

A:

Q: On a blank sheet of paper (lined or not), write any two different positive integers less than 10. In…

A:

Q: The polynomial  0.0035x^3+0.0053x^2+0.18x+1.07 gives the approximate total earnings of a company, in…

A: A function of the form,  p(x)=a0+a1x+a2x2+....+anxn , where an is non-zero is called a polynomial in…