A. Divide the following polynomials using the long method. 4. x² +2x - 8; x – 2 5. x-6x + 12x – 8; x – 2 6. 3x – 10x² -- 27x+10; x– 1/3

Q: ) Perform the following division of polynomials by synthetic division. b) (3x* + 10x3 –- 22x² + 14x…

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Q: Is 7x to the 3rd power a polynomials

A: A polynomial is an algebric expression with at least one term in it.Given expression is 7x3. Here…

Q: 7. Add or subtract the following polynomials: a. 2x2 + 3y3 - 4x2 = b. y3 + 2y3 - 8 + 2 = c. 10 -…

A: Given that   Add or subtract the following polynomials: a. 2x2 + 3y3 - 4x2

Q: Which of the following polynomials is exactly divisible by (3x+1)? A. 6x2+17x+5 B. 9x2+6x+1 C.…

A: We have to check which of the given polynomials is exactly divisible by 3x+1. Factor theorem states…

Q: Perform the following division of polynomials by synthetic division. (x^4 - x^3 - 9x^2 + 29x - 30)…

A: Given:    x4-x3-9x2+29x-30x2-3x+4

Q: find y′ (a) by applying the Product Rule and (b) by multiplying the factors to produce a sum of…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 2. Simplify each polynomial. Gather like terms. a)-p +5q – 8r – q+ 3p+9r +1 c) 5q - 9s – 8r + 8q –…

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Q: Which of the following shows the polynomial below written in descending order? 3x³ +9x-x+ 4x¹2 D OA.…

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Q: subtract the polynomials using the horizontal format. 5a + 7 from -a - 4

A: Let px=a0+a1x+a2x2+.........+anxn and qx=b0+b1x+b2x2+.........+bnxnpx-qx=a0+a1x+a2x2+.........+anxn…

Q: 6) Divide the following polynomials a) (2x³ – 3x² + 4x + 5) ÷ (x + 2) b) (16x3 – 12x² + 20x – 3) ÷…

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Q: S. Which polynomials gives a quotlent of (3x + 2x+ 4) and a remalinder of 19 when divided by (2x-3)7…

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Q: Multiply the following polynomials and express your answer in simplest form. (2x-6)(x+ 11) C) 2x2 +…

A: As we know that the multiplication of  (a+b)(c+d)=ac+ad+bc+bd

Q: 20) Determine a polynomial that represents the area of the figure. 20) 3x - 5 3x + 5 A) 9x2 - 25 B)…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: C. Divide the following polynomials using synthetic division. 7. x2-5x +4; x- 1 8. x- 6x - 4; x +2…

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Q: Find for the quotient of the following polynomials using synthetic division. 3. (2x + 3x - 2x + 4) +…

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

Q: -Divide the following polynomials using either long division or snythetic division. Show your…

A: Given, b2-10b+16b-7

Q: 8-94 c and d

A: see 2nd and 3rd step.

Q: Divide the following polynomials: A.(2x⁵-3x⁴-5x³+5x²+3x-2) by (2x²+x-1)

A: This question is related to divisions of two polynomial..

Q: Which of the following polynomials will fill in the blank to make the equation true? 2 (3x - 7x + 2)…

A: The given polynomials,3x2-7x+2+_______=2x2-10x+3

Q: determine the degree of the given polynomials. -5x2y2 - 6xy2 + x

A: Consider the provided polynomial, 5x2y2-6xy2+x Determine the degree of the given polynomial.

Q: Which polynomial correctly combines the like terms and expresses the given polynomial in standard…

A: Given: The polynomial expression is 8mn5-2m6+5m2n4-m3n3+n6-4m6+9m2n4-mn5-4m3n3.

Q: Which of the following operations on polynomials will always result in another polynomial? Select…

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Q: L. Find for the quotient of the following polynomials using long division. 1. (x-6x+ 8) + (x-2)

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Q: For the following polynomial P(x) = ax4 + bx3 + cx2 + 3x − 8 , it has a constant finite difference…

A: Constant finite difference = Degree!×Leading Coefficient-48=4!×a24a=-48a=-2

Q: Find the least common multiple of the following pair of polynomials:x(x - 1) 2 ( x + 1)  and 4( x -…

A: The least common multiple (LCM) is the smallest quantity which is multiple of more than one…

Q: 1. For each of the following polynomials, determine its degree, leading term, and leading…

A: Determine the degree, leading term, and leading coefficient  a) 7x5 +5x4 -3x6 +2x-17  b)25x5 +x8-6x2…

Q: 21) Determine a polynomial that represents the area of the figure. 21) 2x + 6 3x + 3 A) 6x2 + 18 B)…

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Q: Use long division to divide the following polynomials: (3ct + a3-#+1) 은 (22-2x + 1) O 3a2-5x +12 +…

A: Answer

Q: 2. Simplify the following polynomials: a) (x²-3x² + 5x-9) + (4x³ - 5x² - 8x +11) b) (3xyz - 4x² + 8)…

A: For solving this kind of problem we need to add same power of terms and simplify the equation.

Q: Find the factors of the following polynomials. 9. x? – 4 10. x2 + 4x-5 11. 3x + 6x² + 5x + 10

A: It is reuquired to find the factors of the given polynomials.

Q: Divide the following polynomials using synthetic division. Identify the quotient, Q(x), and the…

A: According to guidelines we solve only first three parts.

Q: Perform the indicated operations. Indicate the degree of the resulting polynomial:…

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Q: DO NOW Simplify the following expressions by performing the indicated operation and classify new…

A: Degree of polynomial is defined as degree of highest power of variable.  Number of terms are the no.…

Q: 2. Write the polynomial in standard form. * 5w – 2w + 2w - 8 2w + 2w + 5w-8 -2w + 2w -8+5w 5w - 2w +…

A: Steps :: 1) Write the term with the highest exponent first2) Write the terms with lower exponents in…

Q: Divide the following polynomials using either long division or synthetic division. Show your…

A: Dividev2−2v−89v−10

Q: Divide the following polynomials: A.(x³+5x²-47x+30)/(x+10) B. (14x²-58x³+57x²+28x-5)/(7x-1)

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Q: D: x2 - x + 1

A: Which type of polynomial

Q: A. Divide the following polynomials using the long method. 1. x2-5x +4; x -1

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

Q: Perform the following division of polynomials by long division. (12x^3 - 7x^2 -38x +42) / (4x - 5)

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Q: Find the quotient using synthetic division. BE AE 35. (2x +3x+4x² +24x-45)+ (x+3) 36. (x* -5x'…

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Q: 9) Perform the following division of polynomials by synthetic division. (8x3 + 6x² – 39x + 11) ÷ (4x…

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Q: Divide both polynomials by x – 4. 6. f(x) = x³ – x² – 22x + 40

A: Steps to follow for Long division of polynomials: 1) First arrange the indices of the polynomial in…

Q: 16) Perform the following division of polynomials by long division. (12x³ – 7x2 – 38x + 42) ÷ (4x –…

A: The given expression is 12x3-7x2-38x+42÷4x-5.

Q: determine the degree of the given polynomials. 5y6 + y4 - 2y2 - 8

A: The given polynomial is 5y6+y4-2y2-8

Q: division (X^3 -5x^2 -2x + 14) ÷ ( x -1)

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Q: II. Find for the quotient of the following polynomials using synthetic division. 3. (2x + 3x-2x + 4)…

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Q: Perform the following division of polynomials by synthetic division. (x* – x3 – 9x² + 29x – 30) ÷…

A: The polynomials are p(x)=x4-x3-9x2+29x-30q(x)=x2-3x+4   To find: p(x)q(x) using synthetic division

Q: Simplify the following polynomial by combining like terms. 3x + 8x - 2- 22 +7x– 6 O 2x + 30x -8 O…

A: Combining like terms

Q: E. Divide the following polynomials using synthetic division. 10. x + 2x - 8; x – 2 11. x-6x² + 12x…

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Q: subtract the polynomials using the horizontal format. -4a - 5 from 6a + 2

A: The given polynomials are: ( -4a - 5) and (6a + 2) We have to subtract the polynomial ( -4a - 5)…