Determine whether each of the following sets is a basis for P2. Justify your answer in each case i. 1. A = {1+t,t+ t2} (ト +) =0 =01(2 =0 is lineorly forms inde pendent ba sis for Pz, B = {t? + 7,2t - 3,t + 5, t2 + t + 1} A ii. iii. B = {1 - t,-1+ 2t?, 1- 2t + t²}

Q: 3. Given the polynomials p1 = t3 – 2t2 + 1, p2 = t2 – 4, p3 = t3 + 2t, p4 = 5t. Does this set of…

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Q: 5. x₁ + x₂ -3x1 3 +2x30 X₂ - 2x3 = 2

A: According to Bartley guidelines, these are separate questions. Please ask second question…

Q: 25. f(x) =x-16x A) -4, 0, 4 B) -8, 0, 8 C) -2, 1, 2 D) 2, 4, 8 26. g(x) = x* -x' -6 A) -V3,-V2, 2, 3…

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Q: For the numbers 12, 13, 15, 17, 20 Compute: SX   SX2   (SX) 2

A: Given data is12, 13, 15, 17 , 20

Q: 1. (10 points) Consider the set V of polynomials of the form ac® + bx4+ca² +d, where a, b, c, d e R.…

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Q: &Vocs Digital J Actividad 1: Opcic Moces Digital Activedod 1:Oprid X d h26 Simplify Addition -…

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Q: Multiply: 3y2(2y³ - 4y² + 5y) a. 6y5-12y + 15y³ d. 5y5-y¹ + 8y³ b. 5y6-y4+8y² e. 6y5-y4+ 15y³ c. 6y6…

A: SOLUTION-

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: According to the second translation theorem, how do we find the indicated missing factor?…

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Q: Use the value of the discriminant, b² - 4ac, to determine the number and type of roots for x²-3x+7=0…

A: We have to use the value of the discriminant, b²-4ac, to determine the number and type of roots for…

Q: 6. (10pts) Determine whether you can find the interpolating polynomial p(t) = a, + a,t + a,r² for…

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Q: Simplity. Assume all exponents are positive integers. 35n 45x² 2. 35n² 25x 1. 4. p²-3p-54 p-9 5.…

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Q: Evaluate a + 4 x 7 - 2(b - 1), if a = 7, b = 4

A: We need to evaluate  a+4×7-2(b-1)=a+28-2b+2=a-2b+30

Q: Factor completely. qs - 8s + qf - 8f qs - 8s + qf - 8f =

A: We have to complete factor

Q: 4. Factor a? + 12ab + 32b2. OA. (a+4b)(a + 8b) О в. (а - 4b)(а - 8b) С. (а - 4b)(а + 85) D. (a +…

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Q: 5. Which of the folowing is a table of values of a quadratic function? A. B. X-3-2-1 01 Y 27 8 2 3…

A: Given that:

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: Which of the following expressions has the greatest common monomial factor of 4x y? O 17x3y + 8y3-…

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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: 1 -1 cost e' sint X' = X+ Use the method of Variation of Parameters. 1

A: we have, X'=1-111X+costsintet Consider the matrix A=1-111 and ft=etcostetsint First, solve the…

Q: Find the linear, nonhomogeneous differential equation with constant coefficients whose solution is y…

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Q: 24. Which quadratic equation has -2 and 1 as its roots? O O O O CLEAR ALL x²+x+2=0 x²-x-2=0 x²+x-2=0…

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Q: Determine the general expression for the four roots of V3 – j . O V2cjs (- + 글세), k=D 0, 1, 2,3 O…

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Q: 10. Which of the following are roots of x3- 3x²– 45x-81? -3 and 9 -4 and 8 -2 and -1 -1 and 9

A: Simplification

Q: 2. Find the interpolating polynomial using NDD of the points (0,0) , (1,16) , (2,48), (4,88) and…

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Q: Answers to 4.5.2 Solving Polynomials: Irational Conjugates 1) 1- V7, 2-2vi 2) -3 - Vi, 3- VE 5) flz)…

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Q: It is possible to write xk as a linear combination of Chebyshev's polynomials, for example %3D…

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.