Problem 4 Which of the following sets of polynomials are linear independent? O(A){2+x+7x²,3-x+ 2x²,4-3x²} O(B){-x², 1+ 4x²} O(C){3-x+9x2,5 - 6x + 3x², 1+x - 5x²} O(D) {8 + 3x + 3x², x + 2x², 2+2x+ 2x²,8-2x + 5x²}

Q: 1. 6р - 6 р 2 2p 9p - 9

A: To simplify the following expression.

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: 4. Find the product of (x +8)(x- 3) (X)

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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: 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: e down a polynomial of degree exactly 4 that interpolates the four points: (-1,-5 1), (2, 1), (3,…

A: We have to find the polynomial equation from given points.

Q: Also, our definition of the first 4 Legendre polynomials is: 1 Po(x) V2 P1 (x) = V5/2 (1 – 312)…

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Q: Convert the following polynomials to factorial poly 1. (x-7)(x-6)(x - 5)(x+4) 2. (x+6) (x + 7)(x +…

A: We have to solve 1. (x-7)(x-6)(x-5)(x+4)2. (x+6)(x+7)(x+8)(x+9)(x-10)

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: a. Let V be the the set of polynomials of degree less than or equal to 2, with operations defined as…

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Q: (a) Evaluate 12x + 3x3 – 5x² + 7x – 8 at x = -1 (c) One can represent polynomials using nested…

A: a Given polynomial is p(x)=12x4+3x3−5x2+7x−8. We have to evaluate the given expression at x=-1. Let…

Q: actor each polynomial. 1. x2 2-14x + 49 2. x2 +2x + 1 3. x2 +7x + 14 (x-1) x2+ 18x + 81 5. y2-20y+…

A: Consider the polynomial x2 + 7x + 14 The above polynomial could not factor further since it has no…

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: consider two polynomials P(x) =6x+1 and Q(x)=4x2-3x+2 carry out the indicated operation and simplify…

A: Explanation of the solution is given below...

Q: Expand and simplify. (a) 4(x + 3) + 5(2x - 1) (b) (x + 3)(x- 5) (c) (2x – 1)(3x + 2) (d) (a – 2b)(a…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Which polynomial has the zeros 1, –1, & -4? O y = (x+1)(x – 1)(x+ 4) O y = (x+1)x –1)(x – 4) o y…

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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: Which polynomial is equal to (x + 1) divided by (x + 1)? А - х3 — х2 -х+1 В — х3 + х2 — х + 1 B x*.…

A: WE HAVE TO FIND ANSWER

Q: How do i find the ral seros of  a given polynomial and their corresponding multiplicities?…

A: We have to find the zeroes and their multiplicities.

Q: For each of the polynomials below, state the degree and the number of nonzero terms, and select the…

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Q: Below are two Lagrange interpolating polynomials, L₁ and L2. Following these are interpolating poly-…

A: For the first Lagrange polynomial, the points are:  x0=2,x1=5,x2=6,x3=8 Now,…

Q: 2. Divide the following polynomials using long division, and indicate the quotient Q(z) and the…

A: We have to find

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

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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: 3. Find the greatest common divisor of: (a) The polynomials r³ + x² + x and r³ +x* +x² + x in Z2.

A: The given polynomials are: x3+x2+x, x5+x4+x2+x The given group is ℤ2.

Q: Find the LCM of the polynomials 1.x²³²-²³² and X²²=-2xy + y²2² 2 X HI 2.5x³y and 15x² Y

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Q: expand and simplify the following polynomial: 2 (7 – 4a) a (2a – 4) (5a + 1) 40a + 390a? + 180a O…

A: 2(7-4a)a(2a-4)(5a+1) = (14- 8a)a{ 10a2 + 2a - 20a -4}  = (14a- 8a2)( 10a2 -18 a - 4)  ={ 140a3…

Q: a) f(x) = 2x4 - 3x² + 2

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: 3. Find both linear and quadratic interpolating polynomials for the points (-2,-13) , (-1,-3) ,…

A: We take given pairs of points as (x, y) x y -2 -13 -1 -3 1 -1 2 -9 3 17 We have…

Q: Question 6 * 9. Factor the following polynomial expression: 2x + 3x2 + 4x- 3. F (2x + 1)(x² + 2x +…

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