Compare and contrast the following polynomials: x2 – 16 x* – 16 - Factor 2 – 16 Make a conjecture about how you could apply the method you used to factor 2 – 16 to factor 4 – 16- -

Q: ving polynomials for x = 2 and x = -2, ree of each polynomial. %3D %D -10 + 3

A: The degree of a polynomial is the highest power of the variable in a polynomial expression.

Q: C. 2a + 1 4. a )(a2 -1) (a - 1) (a + 1) (a - 1) (a + 1)

A: We factorize the given polynomial by factorize middle term i.e. term of a^2 .

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

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Q: 1. Factor the following polynomials using the factor theorem. (a) x³-4x²+x+6 (b) x³+8x²+21x+18 (c)…

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Q: Given P(x)= 2x -8x +9x -9: a. Find ALL the zeros of the following polynomials, real or complex,…

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Q: The polynomial – 4p² + 16p – 15 can be factored by grouping. Write an expression in the form ap? +…

A: topic - quadratic equations and factorisation

Q: Consider polynomial P(x) = x³ +x² – 10x – 10. 1. Is x+1 one of the factors of P? Explain.

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Q: are factors of the Using the remainder theorem, determine whether (x - 4) and (x -1) expression x3…

A: According to the given information it is required to determine if (x-4) and (x-1) are factors of the…

Q: Which of the polynomials below is a 3rd degree polynomial? Select one: O a. 3x25x+7 O b. 5x 3-6x4 +…

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Q: а. 4x2 —Зх b. 24х2 — 2х + 15 с. 12х2 -26х — 16

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Q: We have two rational expressions: The first rational expression has (a² – 2a – 35) in the numerator…

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: Which of the below is the completely factored form of the polynomlal shown? y+50 2(y+ s) b.…

A: Given We are given an expression in terms of y and we need to factorise the equation to its maximum…

Q: An amusement park manager recorded the number of visitors of different ages who came to the…

A: Ques - 3 Given, An amusement park manager recorded the number of visitors of different ages. Data…

Q: Exercise 9.1 What is the coefficient of x6 in the polynomial 14 – 5x² + 6x³ – 22x5 – 19x6 + 10x7

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Q: Please answer the question below (iv). x - by + y – bx = x – bx + y – by = x (1 – b) + y (1 – b) =…

A: -bx-by+x+y

Q: If (x + 3) is a factor of x3 - 13x – 12, what are the other factors. A. (x- 6) and (x + 2) B. (x –…

A: Given data is : If x+3 is a factor of x3-13x-12 What are the other factors.

Q: For which polynomial is the expression (2y – 3)a factor? O 12y – 8 O 45 y- 20 16y – 54 O 2y? + y3

A: This question can be solved by the method of factorization

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: The binomial X+ 4 is a factor of which polynomial? O A. x2 + 2x- 24 O B. x3 –10x? +33x-36 OCX3- 2x?…

A: The binomial x+4 is a factor of a polynomial if P-4=0 Option A: x2+2x-24…

Q: 4. Multiply the following polynomial using the FOIL method. (x - 1)(x+2) 0x²+x-2 Ox-1+2 2x²+x-2 2x²…

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Q: 1. Identify the degree, end behavior and roots (w (a) f(x) = r³(x + 1)²(x² + 9)(x² – 4) - (b) /(x) =…

A: Degree of polynomial is the highest power of 'x' on polynomial equation Roots are found when f(x) =…

Q: Q3: Find the following (if possible) • All possible polynomials in GF(4²) 3x 17 ++ 5xmod 241 = 17 5…

A: GF42=GF(16) is called the Galois Field with 16 elements.  Galois Field: A finite field or a Galois…

Q: Use the same technique as in 4 and 5 above to factorise the following show all the steps x²-2x+1

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