2. Given a polynomial as follows, P(x) = 1 +4² +6¹ +426 +28, to evaluate it, the minimum number of multiplications that one needs is: (a) 3 (b) 4 (c) 5 (d) 6 or more

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: What is the degree of the polynomial 3x4-5x3+7x2-2x+8?

A: Degree of polynomial: The highest or the largest power of the variable denotes degree of variable…

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: a The quotient for the division of x3 3x²+2 with x-3 is - O (A) x² O (B) 2 O (C) x-3 O (D) O O (E)…

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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: True or False: The degree of the following polynomial is 7: &x+&g. O True O False

A: Degree of polynomial with two variable It is the maximum degree of the degrees of the terms with…

Q: Given the following polynomial, p(x)=3x³ (3x + Perform the Leading Coefficient Test by answering the…

A: P(x)=3x^3(3x+1)^2(2-x)

Q: 2. Multiply the following polynomial using the FOIL method. (p-q) (5+q) Oq² + pq-5p Opq-q+5p² O-q²…

A: We can find the correct answer using foil method in the below steps.

Q: span P2. P1 = 1– x – 2x2 , P2 = 3 + x, P3 = 5 – x + 4x² , P4 = -2 – 2x + 2x2

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Q: If a polynomial p(x) is divided by a linear divisor (r a), then the remainder is (A) p(а) (B) р(1)…

A: If a polynomial fx is divided by x-c, the quotient is qx and the remainder is rx. fx=x-cqx+rx Recall…

Q: The number of zeros of the polynomial x² + 3x + 2 in Zg is: None O 2

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Q: Perform the indicated operations with the following polynomials to simplify. (3x4 – 4x2y + 2xy2) –…

A: We need to simplify the given polynomials.

Q: Pra

A: The first part of the question is asking whether we can use synthetic division to simplify the…

Q: If a polynomial f(x) has a remainder of -9 when divided by a 3, what is f(3)?

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Q: Add or subtract the following polynomials. (6x2 - 2x + 5) – (-3x2 - 4x + 6) O 6x2 + 3x - 1 O 10x2 +…

A: We are given the polynomials    (6x^2 - 2x + 5) - ( - 3x^2 - 4x + 6)     Now we slove these…

Q: (6x* + 10z³ + 5x² + x + 1) ÷ (x + ,) 31

A: Use Synthetic division to find quotient

Q: Determine the standard form of the following polynomial: p(x) = (2x²+1)(x²-3)

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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: Given the following polynomial determine the end behavior 4x1234x7 + 15x² ↑↑ ↓↑ ↑↓

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Q: 3. Multiply the following polynomial using the FOIL method. (2m + 1)(m5) O m² + m - 5 O2m² - 9m - 5…

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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: Choose the correct polynomial such that it can be factorized as (2p +q) (4p² – 2pq + q²) p³ – q° 8q³…

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Q: In the polynomial (x + 1)° (x² – 4) (x + 3)° (x + 4).

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Q: For the polynomial 8y4 – 3y + 1 1. Is it a monomial, binomial, or trinomial? 2. What is its degree?

A: Given: 8y4-3y2+1 Monomial contain only one term, binomial contain three terms and trinomial contain…

Q: choose the correct answer :- P(X)=X4-3X2-X+M Since the polynomial is  (nx+6 ) by division by…

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Q: b. x2(m + n)- 16(m+ n) (x2 in) +. - 4) (x + ) (m + n)

A: We have to factorise and fill the missing terms.

Q: Compare and contrast the following polynomials: x² 18x + 81 24 - 18x² +81 Factor ² 18x + 81. Make a…

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