3 Consider the function f(x) = x² 9x27x27. If you were asked to factor it completely, you could use the factor theorem and discover that x-3 is a factor. Why is it not a good idea to keep "guessing and checking" in order to find the other 2 possible factors, but rather perform long division. 2 1

Q: Use the Remainder Theorem and synthetic division to find each function value. Verify your answers…

A: Note:- according to the company policy we can attempt only three subpart of a question so please…

Q: 1. Factor the polynomial completely using the given factor 4 2 2 and division: x - 3x 3 - 36x +68x +…

A:

Q: What is the Remainder R, when ƒ(x) = is divided by (x + 1)? 20 16 22 30 30 4x³ + x² - 3x + 2 3 =…

A: To find the remainder

Q: A polynomial of degree 3 is multiplied by a polynomial of degree 5. What is the degree of the…

A:

Q: Use the factor theorem and synthetic division to decide whether the second polynomial is a factor of…

A: Given are polynomials 5x4+8x3-7x2+47x+5 and x+3. We need to find whether x+3 is the factor of…

Q: To solve for h, first divide both sides by 3x. 3x (x-2) h 3x-3x-33x² +54x 3x 3x (x – 2)h = x - x -…

A: Given: area of the rectangle =3x3+14x2-23x+6also given that width of the rectangle=x+6To obtain :…

Q: Use polynomial long division to divide -3x³ - 2x² - 4x + 2 by z - 3. Rewrite 3x³ 32-³ 200² 2 in the…

A:

Q: Find the value by substituting the given value of x into the polynomial and simplifying. P(x) = 4x4…

A:

Q: Use synthetic division and the factor theorem to determine whether x-5 is a factor of f(x). f(x) =…

A: Topic:- algebra

Q: Consider the following polynomial r(x) = 10x² + 4x - - 7 Find the degree and leading coefficient of…

A: Finding the degree and leading coefficient of the given polynomial

Q: g(x) = x4 - 9x? - 4x + 12 %3D

A: We know that possible zeros are  ±last termFirst term=±121=±(1,2,3,4,6,12) g(x)=x4-9x2-4x+12.…

Q: Use synthetic division to show that the number given to the right of the equation is a solution of…

A:

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

A:

Q: (2x – 10x + x- 2) ÷ (x+ 1)

A:

Q: Calculate (4x³6x² - 14)+ (x + 6) using long division. Justify your answer by showing your work.

A: The long division method is defined as the method in which division of a large number of small…

Q: 2x4-x3-7x2+7x-13/ x-2 using synthetic division, solve the problem. write your answer in the…

A: We can divide it using synthetic division as below

Q: |Consider the equation x* +x – 21x² – x + 20 = 0, determine whether -5 is a root using synthetic…

A: Consider the given equation x4+x3-21x2-x+20=0.

Q: What is the remainder when f(x) = x³ - 2x2 + 4x -21 is divided by x - 3. Is x - 3 a factor or not?…

A:

Q: Use long division to find the remainder and quotient for: (2x4 -3x² + x-1) ÷ (x-2) and verify your…

A:

Q: 4. Use synthetic division to show that c is a zero of the given polynomial function. b. P(x) =2x³ –…

A: Solution is given below: