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You will integrate the following rational function: s 4x2-14x-3 (x-9) (x2–2x+2) To do this, start by writing 4x²-14x-3 (x−9) (x²–2x+2) (a) Put the right-hand side over a common denominator. Enter the numerator of the result. 0 constants: 0 da x (b) Expand the numerator. It is a quadratic in , which must equal the numerator of the original function. By equating the coefficients you should be able to formulate linear equation in A, B and C. In each case give an equation with the constant part on the right, for example A + 2 * B = 3. What equation can you deduce from the coefficients of: 22:0 (d) The last term is in the form 0 cip la P = ZA9 + Bx+C T2-2x+2 (c) Solve these three equations, and enter the solution in the form A,B,C 0 Bx+C x2–2x+2 & P Find constants K and J such that B x + C = K (2 x 2) + J, enter in the form K, J

You will integrate the following rational function: s 4x2-14x-3 (x-9) (x2–2x+2) To do this, start by writing 4x²-14x-3 (x−9) (x²–2x+2) (a) Put the right-hand side over a common denominator. Enter the numerator of the result. 0 constants: 0 da x (b) Expand the numerator. It is a quadratic in , which must equal the numerator of the original function. By equating the coefficients you should be able to formulate linear equation in A, B and C. In each case give an equation with the constant part on the right, for example A + 2 * B = 3. What equation can you deduce from the coefficients of: 22:0 (d) The last term is in the form 0 cip la P = ZA9 + Bx+C T2-2x+2 (c) Solve these three equations, and enter the solution in the form A,B,C 0 Bx+C x2–2x+2 & P Find constants K and J such that B x + C = K (2 x 2) + J, enter in the form K, J

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.CT: Chapter Test
Problem 11CT
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You will integrate the following rational function: 4x²-14x-3 S (x−9) (x²–2x+2) To do this, start by writing 4x²-14x-3 (x−9) (x²–2x+2) (a) Put the right-hand side over a common denominator. Enter the numerator of the result. da I. 0 constants: 0 (d) The last term is in the form 0 = A x-9 (b) Expand the numerator. It is a quadratic in , which must equal the numerator of the original function. By equating the coefficients you should be able to formulate linear equation in A, B and C. In each case give an equation with the constant part on the right, for example A+ 2 * B = 3. What equation can you deduce from the coefficients of z²:0 & P & P Bx+C x2–2x+2 + Bx+C 2 (c) Solve these three equations, and enter the solution in the form A,B,C 0 -2x+2 Find constants K and J such that Bx+C = K (2 x 2) + J, enter in the form K, J
Transcribed Image Text:You will integrate the following rational function: 4x²-14x-3 S (x−9) (x²–2x+2) To do this, start by writing 4x²-14x-3 (x−9) (x²–2x+2) (a) Put the right-hand side over a common denominator. Enter the numerator of the result. da I. 0 constants: 0 (d) The last term is in the form 0 = A x-9 (b) Expand the numerator. It is a quadratic in , which must equal the numerator of the original function. By equating the coefficients you should be able to formulate linear equation in A, B and C. In each case give an equation with the constant part on the right, for example A+ 2 * B = 3. What equation can you deduce from the coefficients of z²:0 & P & P Bx+C x2–2x+2 + Bx+C 2 (c) Solve these three equations, and enter the solution in the form A,B,C 0 -2x+2 Find constants K and J such that Bx+C = K (2 x 2) + J, enter in the form K, J
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