Let f(x,y,z)=x² √²+z² Compute f(2, -3,2) and f(7,8,-6). f(2,-3,2)= (Type an exact answer, using radicals as needed.) f(7,8,-6)= (Type an exact answer, using radicals as needed.)

Q: 16) Given the function f(x)=2x –1lx² +22x–15, find all the complex roots, given that 2-i is a root.…

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Q: 13. Find the equation of the third degree polynomial containing the points (1, -7), (0, 4),(3, -2)…

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Q: Find all the zeros given that z 2 and z=-7 are zeros: j (z) = 4x + 19z - 64z2 -I+ 42 %3D %3D %3D O x…

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Q: Show that the roots of px2 + (p - q)x - q = 0 are real for all real values of p and q.

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Q: Determine the roots algebraically by fact a) x- 8x2- 3x + 90 = 0 b) x + 9x + 21x - x - 30 = 0 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: 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: 3) Show that (a + b +c)² = a² + b² + c² + 2ab + 2ac + 2bc is a polynomial identity.

A: To show: a+b+c2=a2+b2+c2+2ab+2ac+2bc

Q: w is an imaginary root of unity. Prove that (i) (a+ba+ca²)³ + (a+ba² +ca)³ = (2a-b-c) (2b-a-c)…

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Q: b) Suppose x # 2. Find dif dx In y = In (x - 2)² √x² +1

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Q: 1.Solve the following polynomial equations.  a)  2X2+1=x2+2X

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Q: 2) x- 7メ r Sx3 +93 ×2 イ2x-72=0 R) x5-2x4 -15x°t 10×*+イX-18=0

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Q: 2 Express ( √5 - √5₂) in 2 simplest a + bi form.

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Q: 1. Which of the following is a polynomial? A. 5x 4x 1+7 B. xV5 + x? D. 3x5 – 5

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Q: a. Factor the polynomial over the set of real numbers. b. Factor the polynomial over the set of…

A: 107. Given polynomial is: fx=x4+2x3+x2+8x-12 We have to factor the above polynomial over the set of…

Q: '-7r + 19r- 13 and write it as the product of three 2. (3.4) Factor the polynomial P(r)-r linear…

A: Substitute x=1 in the given equation Then P(x)=0 So (x-1) is a factor of P(x)

Q: The roots of (x + 1)2 + 1 = 0 are

A: NOTE: Refresh your page if you can't see any equations. . subtract 1 from both sides

Q: 5. а) Factor the polynomial f (x) = 3xª+2x³+2x² +2x-1 into irreducible polynomials in C[r], R[7),…

A: In complex number, .

Q: A. Convert the following quadratic functions y ax? + bx + c in the form y = a(x - h) + k 1. y = x² +…

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Q: After seeing that line AB was perpendicular to the given line, why were each of the polynomials…

A: Given:- Line x=3t+1,y=-t+3,z=6t and point A-6,7,8

Q: dx 10) √x²4(14+x²) a) - - - c) - 1 4X ㅗ 4x + 1 andan ²/3 + c autan 1/2/3 + c 8 I ondan 2/2 + c 8 j 8

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Q: Find fx, fy, fx( − 6,4), and fy (3,2) for the following equation. 2 f(x,y) = √x² + y² X √x² + y²…

A: Step 1: Step 2: Step 3: Step 4:

Q: Construct the addition table for Z5. Using this table, or otherwise, determine the following x in…

A: First we find addition table for Z5. Then find values of x.