Sarah is demonstraing the idea that polynomials are closed under addition. Her work and explanation are shown. Select an equation and phrases to complete the statement. Part A: Add 3r + 6r - 7 to Equation A 2z Equation B (2z)* + 4.4r – 9 Equation C (-8z) - (32)* + 7 (2z)2 + 4z i Part B: This is closed because of the sum are and the sum is a polynomial.

Q: Given the polynomial, -3 + 4x? – 6x -3x', 1. Write the polynomial in Standard Form 2. What is the…

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Q: The polynomial a - 2x-5x +6 is divided by a-1. 5x + 6 is divided by x 1. What is the quotient? O z-…

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Q: Complete the term-coefficient-degree table for the polynomial. 8a°b2 - 28ab Term Coefficient Degree…

A: The given polynomial is: 8a3b2-28ab

Q: 5. Multiply the polynomials (x + 3)(2x – 4). What is the product in the form ax? + bæ + c? Enter…

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Q: Amelia is simplifying the polynomial expression in the box. (2x? + 6x²- 7x -4) – (2x² + 9x – 3) If…

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Q: What is the degree of polynomial 7^3pt^3+3p^2t^4+4pt

A: To find the degree of the polynomial, add up the exponents of each term and select the highest sum.…

Q: Find A. 2 3 (24)-1 -4 2 A =

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Q: Mr. Farmer planted tomatoes on the ground garden beds as seen below. Suppose the garden bed row for…

A: Given, Garden bed row for tomato plants is modeled by polynomial (y2 -17y+16) in2 Then, Area of…

Q: Marcus states that the polynomial expression 3x3 – 4x2y + y3 + 2 is in standard form. Ariel states…

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Q: C = 3y + 4y +4 D = -7y + 3y – 6 D-C =| Your answer should be a polynomial in standard form.

A: We plug the given expression of C and D in D-C…

Q: A polynomial expression is shown below. ex(4x3 + 8x2 - 12) - (x2 + 5)(x2 + 7) The expression is…

A: Simplify the expression then compare

Q: Evaluate the polynomial for  a = −3 and b = 4. a2 + 4ab − b2

A: We have to evaluate a2+4ab-b2 when a=-3 and b=4 In this case we just need to put the given values of…

Q: What is the product of -2x3 + x – 5 and x3 - 3x –4? (a) Show your work. (b) Is the product of -2x3 +…

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Q: The polynomial -6x-55x kx-16 has factors x + 8 and 3x + 2. Determine the value of k. a) -58 b) 58…

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Q: Given the expression 5a2b - 13ab + 7a3 - 4b, A: Write the polynomial in descending order. B:…

A: follow the next step

Q: iynor Is by linear expressions Divide the polynomials. k where p(x) is a polynomial and k is an…

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Q: 8. Find the LCM of the polynomials. 5p 20 15p 60 A. 5(p-4) B. 75(p 4) C. 15(p - 4) O D. (p- 4)

A: Option C is correct option.

Q: 2) Answer true or false. If 5 is a zero of a polynomial, then (x +5) is a factor of the polynomial.…

A: Use the concept of relation between zeros and factor of polynomial.

Q: 1. Add the following trinomials 8x? – 7x – 2y, 5x? – 6x – 15y , -4x²+11x - 9y 2a. Simplify the…

A: Topic:- algebra  Note:- as per our guideline if more than three subparts posted than only first…

Q: If the polynomial ax + bx– 17x-9 is divided x +1, the remainder is -22. If it is divided by x-2, the…

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Q: 4 from 8.2? Your answer should be a polynomial in standard form, Subtract 3c2+7r x- 6r +2. 1.

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Q: 3.

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Q: Is the expression 4x³ - 3.6x? - V2 a polynomial? If so, what is its degree? Select the correct…

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Q: Add the polynomials: (a) (4a² - a + 6) + (6a² + 7a – 9 (b) b?+ + 4) + (b2 -136 - 13) and (c) (3x² –…

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Q: Consider the algebraic expression (6x – 12) + 2(4x-1). Which response shows the polynomial after the…

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Q: b2-4ac is zero there will be

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Q: Arrange the terms of the polynomial 2a* – ab? + 6b4 – 9a?b³ - (a) in ascending powers of a, (b) in…

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

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Q: The addition of two polynomials is shown below. (ax? + 5x – 6) + (3x² – bx + 8) Jerry claims that…

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Q: 1. 16x² - 49 = 0

A: We use (a^2-b^2)=(a-b)(a+b)

Q: Evaluate the polynomial 3ab - 5ab^2 + 2b for a = -2 and b =-1

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Q: Do the polynomials a – 2x2 +1, 4.x² – x+3, and 3x- 2 generate P3(R)? Justify your answer.

A: Given polynomials are x3-2x2+1, 4x2-x+3 and 3x-2. It is required to find whether they generate…

Q: When a polynomial x3 + x2 + 7x − 7 is divided by another polynomial, the quotient is x2 +3x + 13 and…

A: Solution:Given  p(x)=x3+x2+7x-7q(x)=x2+3x+14   and r(x)=19To Find other…

Q: a) Find the sum of x+2x-5 x2+12x+35 and a+7* b) State the domain.

A: We have to find the sum and domain

Q: What is the product of x - and 5x2 - 2x + 6 ? Write your answer in standard form. (a) Show your…

A: a) Given 12x-14 and 5x2-2x+6 The product of this have to be taken and write it in standard form

Q: Explain using complete math and English sentences how to find the roots               ( zeroes) of…

A: Given expression X3+3x2-4x-12

Q: Evaluate the polynomial for  a = −2 and b = 4. a2 + 2ab − b2

A: We have to evaluate the polynomial for a2+2ab-b2 for a=-2 and b=4.

Q: Express the polynomial in descending order. If the polynomial is already in descending order, so…

A: Arrange the given polynomial in descending order

Q: 1) Name the polynomial a) 3x? + 9x - 1 b) 2x* - 9x? - 1

A: a) 3x2+9x-1The above polynomial has a degree 2⇒It is quadratic polynomial

Q: A polynomial expression is written in the box. (-2m* + 6m? + 3m – 2) + (5m³ – 9m - 8) Which…

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Q: Mrs. Allard asked her students to identify which of the polynomials below are in standard form and…

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Q: What is the degree of the polynomial  - 3 x^3 y^2 + 3x^2 y^4 + 3 x y^2

A: Rewrite the given polynomial in terms of decreasing powers.

Q: Subtract 4p - 9p+11 from p - 5p +4. Your answer should be a polynomial in standard form

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Q: Simplify the Polynomials (2a-62 +4) - (8x2 – 8x – 17) 6x + 4) 10x2 14x- 13 6x2- 2x 21 | -6x2 + + 2x…

A: To simplify the polynomial (2x²-6x+4)-(8x²-8x-17)

Q: Add. Your answer should be an expanded polynomial in standard form. (-3y? – 5y – 2) + (-7y² + 5y +…

A: Solve given equation

Q: How do I describe the end behaviour of this polynomial> y = x3 − 4x2 + 5x − 12   Thanks

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Q: What polynomial is added to (-2r³+ gr - 8r) to get a sum of (7r3 - 3r +

A: The given polynomial is -2r3+9r-8r2. Let the required polynomial be ar3+br2+cr. The main objective…

Q: 16. Find the domain of the expression V2x+4 3x-1

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.