Let g(x) = 4x3 + 4x - 10x2x3 be a quadratic form in three variables. Find a quadratic form of the type in The- orem 8.10 that is equivalent to g. What is the rank of g? What is the signature of g?

Q: What are the zeros of the polynomial function x² + 5x+6 Ox= -2,-6 Ox= 3,5 O x = -2, -3 x= -1,6…

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Q: Write an equation of a polynomial as described below in standard form. 3) zeros are -3 and with a…

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Q: Determine a change of variables (make sure the coefficient of ₁ is po ₁+ X2 /1 and 12 so that + x₁+…

A: Given that the quadric from                            q= 30x21+(-5)x22+(-120)x1x2…

Q: For the polynomial below, 2 is a zero. h(x)=x'+4x+ 6x- 36 Express h (x) as a product of linear…

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Q: Determine the interrals on which fIS increasing decreasing and constant. also state the domain and…

A: To find:- Need to find out intervals where function increasing, decreasing and constant Method:-…

Q: F. Find the four roots of the polynomial z* + 16 and use these to factor z* + 16 into two quadratic…

A: We need to find the root of z4+16=0 Consider: z4+16=0⇒z4=-16⇒z22=-16⇒t2=-16…

Q: Prove that x- 3 is a factor of the polynomial x + 4x-17x2-14x + 6 without referring to the graph.

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Q: Describe each polynomial. „(a)..x...6x. 36 of degree binomial (b) –15s“t + s³3 monomial v of degree…

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Q: Which of the following quadratic polynomials are irreducible? To check, complete the square if…

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Q: Determine equation of the polynomial function in factored form and IN THREE POSSIBLE WAYS if “A…

A: Given Information:The quartic function with real zeroes only at  and a point  on its graph.To…

Q: C. Pick the correct roots/zeros in the following polynomial equations: 1. x-7x+ 6 0 (6, -1, 2 1,…

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Q: Determine whether the polynomial 8+ 6x – 3x² belongs to Span{2+x – a², 1- 1, 4r²} or not.

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Q: 1. Which of the following is a polynomial function? A. f(x) = v2x +Sx-1 B. f(x) = x - 2x - 15 C.…

A: Given that:                      1. Polynomial function.2. Not a polynomial function.3.…

Q: 7hat is a polynomial function in standard form with zeroes 1,-2, 3, and -3? Ox+x - 11x2– 9x- 18…

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Q: Which of the expressions below is not written as the difference of two squares? O A (4x² – 36) (36…

A: we know that the difference of two squares is a2-b2=a+ba-b

Q: Simplify each polynomial function. Be very careful! -10(u + v) + 8(u - 1) - 3(u + 6) = 7x -[2(x² -…

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Q: How do you write polynomial funtions in standard form when the zeros are 5, 3i, and -3?

A: The polynomial with zeroes as a, b and c can be expressed as (x - a)(x - b)(x - c). This can be…

Q: 4. Write the polynomial in standard form. * 4g – g° + 3g² – 2 -2 +4g + 3g – g g - 3g +4g - 2 O A -g…

A: Standard Form of Polynomial states that the polynomials needs to be written with the exponents in…

Q: (a + 2b-3c) (ab+c).

A: let  I=(a+2b-3c)(a-b+c)

Q: How do I form a polynomial from the zeroes 5, -i, and -2+i with a degree of 5. I am very confused as…

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Q: Help!! Answer correctly

A: Solution for the part aNow the solution for the part b is given below

Q: (10) m²-6m+9 = 0 (Ans. 3)

A: Given two polynomial equation

Q: 5. Write a polynomial equation with the zeros 5, -6, and-1 multiplicity 2.

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Q: Which of the following is a polynomial? i. x³ + 2x² – 5x+ 2 ii. 5.x³ + 3.x² + x+ 2

A: Given expression, i. x3+2x2-5x+2ii. 5x3+3x2+x+2iii. 5x2+3x

Q: Check whether or not x³ + 2x + 1 € F5[x] is a primitive polynomial.

A: Primitive polynomial

Q: ow that x+a is a factor of the polynomial p(x)= (x+a)ª+(x+c)ª-(a-

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