The Special Product Formula for the "product of the sum and difference of terms" is (A B)(A - B) So (5 + x)(5 – x)

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: What polynomial must be added to-7x3+8x-3 so that the sum is x2-x-1?

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Q: When multiplied out, what are the first 4 terms of (x + 3y)0?

A:

Q: What is the result when x4 6x3 + 4x2 + 18x – 12 is divided by x-4? If there is a remainder, express…

A: We will use long division method to find the answer

Q: i have a question about the step by step of 0= -x2+4x-5 using the quadratic formula

A: Consider the quadratic equation, -x2+4x-5=0 To solve the given equation,…

Q: The area of a rectangle is (x^2 + 8x + 12) cm^2. If the length of the rectangle is (x+6) cm, show…

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Q: What is the value of x in ax- bx +3a - 3b = 0? %3D

A: Compare the coefficient of a and b .

Q: When fully multiplied out, what is the 8th term of (x – 3y)'³?

A:

Q: What is the quotient and remainder after dividing the following: f (x) = 2x3 18x? – 16x 50 by x- 10…

A: Solution

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: Explain why the degree of the product of two nonzero polynomials equals the sum of their degrees.

A: Let the two polynomials be of degree m & n respectively. Then, the highest power of x in the…

Q: 2. a) Use long division to divide -x3 – 2x – 1 by x – 1. Express the result in quotient form. b)…

A: Solution is given below:

Q: What is the remainder when f(x) = 2x20 - 8x10 + x - 2 is divided by x - 1?

A: Given : The polynomial is  2x20 - 8x10 + x - 2 and dividend is x - 1.

Q: What is the product of -6x^3 and 2x^5

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Q: i'm having trouble with the step by step on long division  also this is how our professor taught us…

A: Given information:

Q: What is the result when 2x4 + 2x - 8x2 3x + 14 is divided by x + 2? If there is a remainder, express…

A: We will divide 2x4+2x3-8x2-3x+14 is divided by x+2. So, we need to evaluate 2x4+2x3-8x2-3x+14x+2.…

Q: the smallest possibl product of the two numbers x>= 0 and y<= 0, such that 2x-y=120 is:

A: Let x and y be two numbers such that  x≥0,y≤0, 2x-y=120y=2x-120

Q: What is the result when 6x- 15x +4x? + 8x – 4 is divided by 3x2 – 3x – 1? If there is a remainder,…

A: Consider the equation

Q: What is the result when 2x- 13x2 - 5x - 14 is divided by - 7? r(x) If there is a remainder, express…

A: We have to find result when 2x3-13x2-5x-14 is divided by x-7

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: 11 3 - x° + 5x is divided by x + 1? What is the remainder when f(x) = - 2x4 + x' The remainder is

A: Find the reminder when

Q: 17. Find the discriminant of 8x -x +7= 0.

A: topic - discriminanat

Q: What happens if you take B = 2p in the addition formulas? Do the results agree with something you…

A: According to the question,   The addition formulas are given by,…

Q: When using the FOIL method to find (x + 7)(3x + 5),the product of the first terms is_________ , the…

A: FOIL stands for First Outer Inner Last

Q: What is the result when 2x + 13x° + 17x2 - 10x 1 is divided by r(x) x + 3? If there is a remainder,…

A:

Q: My problem wants me to use long divsion then write my answer in quotient + remainder/divisor form.…

A:

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

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Q: What is the sum of the polynomials? (8x² - 9y² -4x] + (x²_3y² - 7x) 2-3y2-7x 8x -9y2 -4x +

A:

Q: The volume of a rectangular box is x^3+16x^2+83x+140cm^3. The box is (x+5) cm long and (x+7) cm…

A: Solution: Volume of rectangular box = L*W*H  where L=Length of rectangular box W= Width of…

Q: What is the result when x4 2x – 8x2 + 22x + 6 is divided by - x² – 6? If there is a remainder,…

A: Simplify: x4-2x3-8x2+22x+6x2-6

Q: Example 1: What is the product of (5x-3)-? Try It Problem #1: What is the product of (2x+7)2?

A: Example 1. Given expression is (5x-3)2 The expression is expanded using the formula…

Q: Find the sum of the coefficients of ( 3x + 2y -2)⁸.

A:

Q: What happens if you take B = 2 π in the addition formulas? Do theresults agree with something you…

A: Since, the addition formulas are given below:-sin (A+B)=sin A cos B +cos A sin B -(1)and cos…

Q: What is the coefficient of x12 in (x+2)14?

A: Given expression is,

Q: Explain why the degree of the sum of two polynomials of different degrees equals the larger of their…

A: If two polynomials are given then their sum is calculated by adding the coefficients of the…

Q: What is the remainder when f(x) = x3 – 13x2 + 40x + 18 is divided by x – 7? Show your work.

A:

Q: To add polynomials, we add terms. So

A: We have to fill in the blanks: To add polynomials, we add ________ terms. So…

Q: What is the result when 2x- 13x2 - 5x - 14 is divided by x- 7? If r(x) there is a remainder, express…

A:

Q: (3z3 – 5z² – 2) ÷ (z – 1) = 522 2) (x

A: Topic =Algebra

Q: A. Apply the product rule to find y' 1. y = (2x + 7)(5x- 1) 2. y = (6-x)(3-x*)

A: Note that, according to Bartleby guidelines, we can answer only the first question in the case of…

Q: Use complex analysis to prove the formula 2n n 7 7n V 3 n=0

A: It is given that

Q: In Z,[x] The quotient when 5x* + 3x² + 1 is divided by 3x² + 2x + 1 is_ 4x² + 3x + 6 . a) True b)…

A: Note: We are allowed to solve only one question at a time kindly upload other questions as different…

Q: What is the coefficient of xk in 1+x+x4 divided by (1-x)5 ?

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Q: Sum of 4x28X+3 and -2x+10x-2 -

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Q: What is the product of x - 2x + 3 and x + 1? 1. x3- x2 + x + 3

A:

Q: If the polynomials f1 and f2 are not divisible by the polynomial g, can their sum f1 + f2 be…

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Q: When using the FOIL method to find (x + 7)(3x + 5), the product of the first terms is outside terms…

A: To find the product x+73x+5 using FOIL method.