Determine which of the polynomials below is (are) irreducible over Q.a. x5 + 9x4 + 12x2 + 6b. x4 + x + 1c. x4 + 3x2 + 3d. x5 + 5x2 + 1e. (5/2)x5 + (9/2)x4 + 15x3 + (3/7)x2 + 6x + 3/14

Q: Q5: Given the following polynomials. a) 2x – 3 b) 2x + 3 Find (a) + (b)

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Q: 2x² + 8x - 4- 16 2x + 1

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Q: Express as a polynomial.

A: To express 13a2+4b13a2-4b as a polynomial. Solution: We have identity a+ba-b=a2-b2. Using the above…

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: $2100 is invested at a rate of 7% compounded monthly. What is the amount after 10 years?

A: In compound interest, total amount is given by A=P[1+(r/n)]nt

Q: Which of the following polynomials has zeros 3 + 2i and 3-2i? O x² 6x + 5 O x? + 6x – 5 O x? - 6x +…

A: We Know that Zeros of a polynomial can be defined as the points where the polynomial becomes zero as…

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: Multiply the polynomials. 5ab (баb — Та + 4b) —D|[|

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Q: 1. Multiply the following polynomial using the FOIL method. (2x - 5)(x² - 4) O 2x³-8x5x² +9 O…

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Q: 10. Which of the following polynomials is NOT divisible by (3x+ 1)? A. 6x2 + 17x+ 5 B. 3x - 4x2+…

A: Use remainder theorem

Q: Evaluate the following polynomials? 1.P(2)=x³–3x²–x+2 2.P(3)=2x³+2x²–4x+1 3.P(-2)=x³–8x²–2x+5

A: As per the policy we are solving first three subparts.   Please repost and specify which subparts…

Q: Divide the polynomials by using an appropriate method. (8x" – 16k10 + 24k° – 32k*) + (84®) = O olo

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Q: Determine whether the following polynomials span P2. P1 =4 -x+3x2, p2 = 4 + x, p3 = 24 + 2x + 6x2,…

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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: Convert the following polynomials to factorial polynomials 1. x³ + 8x² - 4x - 1 2. 2x45x³ + 2x² - 4x…

A: The given polynomials are: 1. x3+8x2-4x-1 2. 2x4-5x3+2x2-4x+9 3. x4+2x3+x2-6x-4 We have to convert…

Q: Given the polynomial below, which shows the terms in standard form? * 5m2 + 9- m + 2m3 A. 2m3 + 9 +…

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Q: Divide the following polynomials k- 4k* - 3k - 5k + 6k – 3

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you.  If…

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 the zero-divisors of Z6.

A: To find The zero divisors of z_6.

Q: Multiply the polynomials (x-1)(x* +x³ + down an identity for (x - 1)(x" +x"-1 +..+x² +x + 1) for n a…

A: Multiply the given polynomials using table (x-1)(x4+x3+x2+x+1)   x4 x3 x2 x 1 x x5 x4 x3 x2 x…

Q: Which of the following is NOT a factor of x6 – 4x* – x³ + 4x? x - 1 x? - 4 x³ + 1

A: To find the factor of x6-4x4-x3+4x

Q: Which of the following polynomials (there can be several correct answers) belong to Span {1+x, 1+ 2x…

A: Answer:To determine which polynomials belong to the span of {1+x,1+2x+x2}, we need to check if the…

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

A: Answer

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: 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: 2x513,?-4x+9-2x°-Sx+6+3x5=8 S182-9r.30-8x4 -と G ite each polynomial in descending order aeeerding to…

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Q: Multiply the following polynomials and express your answer in simplest form. (5a+ 6)2 = %3D A. 25a2+…

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Q: 10. Determine whether the following polynomials span P2. P, =1+x, P, =1-x, P, = 1+x+x, P, = 2-x

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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: Which of the following polynomials below is a Perfect-Square Trinomial? 4x +9x + 64 O 16x + 48x + 36…

A: Identity used -  a2+2ab +b2 = (a+b)2

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.