Find the partial fraction decomposition for the rational expression. 2x + 5x* - 4x - 3x +x 2x +7x+3 2x +5x - 4x -3x + x %3D 2x +7x+3 (Simplify your answer. Use integers or fractions for any numbers in the expression)

Q: Write the partial fraction decomposition of each rational expression.

A: The given equation :  7x-3x3+2x2-3x ⇒7x-3x(x-1)(x+3)                              factor of…

Q: Write the partial fraction decomposition of the improper rational expression. 2x4 + 8x3 + 7x² – 7x –…

A: Topic- Partial fraction

Q: Write the partial fraction decomposition of the rational expression. x-13x+36 %3D x-13x+36 (Simplify…

A: Write the partial fraction decomposition of the rational expression.…

Q: Write the partial fraction decomposition of the rational expression: (x + 4)/x2(x2 + 4)

A:

Q: Write the partial fraction decomposition of the rational expression: (4x3 + 5x2 + 7x - 1)/(x2 + x +…

A: Given that:

Q: Write the partial fraction decomposition of the rational expression. x2 - 9x

A: Let the given function be f(x) - f(x) = 9x2-9xf(x) = 9xx-9Decomposing by partial fraction - f(x) =…

Q: Write the partial fraction decomposition of each rational expression.

A: Given: 2x+3x4-9x2

Q: Write the partial fraction decomposition of the improper rational expression. x4 + 2x3 + 8x² + 13x +…

A:

Q: write the partial fraction decomposition of the rational expression: (4x2 - 5x - 15)/x(x + 1)(x - 5)

A: Concept:The partial fraction is the simpler parts which is broken down from an algebraic fraction.…

Q: Write the partial fraction decomposition of the rational expression: (4x2 + 3x + 14)/(x3 - 8)

A: The given rational expression is:

Q: Write the partial fraction decomposition of the rational expression. (x - 2)(x - 3) 3 x- 2 X-3 2. -3…

A: Given, x/((x-2)(x-3)) Performing partial fraction decomposition we have,

Q: Write the partial fraction decomposition of the improper rational expression. x3 - 5x2 - 7x - 10 x2…

A: Given expression is improper.

Q: Write the partial fraction decomposition of the rational expression: (5x2 - 9x + 19)/(x - 4)(x2 + 5)

A: 5x2-9x+19(x-4)(x2+5)=Ax-4+Bx+Cx2+5Here A,B,C are constants Then we use LCD on the right side.…

Q: Write the partial fraction decomposition of the rational expression (2x2 - 18x -12) / (x3 - 4x).

A: The given rational expression is 2x2-18x-12x3-4x. Rewrite the given rational expression as…

Q: Write the partial fraction decomposition of the rational expression (4x2 - 7x-3) / (x3 - x).

A: 4x2-7x-3x3-x=4x2-7x-3xx2-1=4x2-7x-3xx-1x+1 Now, 4x2-7x-3xx-1x+1=Ax+Bx-1+Cx+1   →1 On simplification,…

Q: Write the partial fraction decomposition of the rational expression. -2x2 - 6x - 5 (x + 2)(x + 1)2

A: -2x2-6x-5(x+2)(x+1)2-2x2-6x-5(x+2)(x+1)2=A(x+2)+B(x+1)+c(x+1)2-2x2-6x-5(x+2)(x+1)2=A(x+1)2+B(x+2)(x+…

Q: Write the partial fraction decomposition of the given rational expression. 2-2x-8

A: Given,             xx2-2x-8

Q: Find the partial fraction decomposition for the following rational expression. -x- 3x + 22x-3x+ 90…

A: Given the expression −x4−3x3+22x2−3x+90(x+2)(x2+4)2

Q: Find the partial fraction decomposition for the following rational expression. -x* - 3x + 22x - 3x+…

A: Given: -x4-3x3+22x-3x+90x+2x2+42

Q: Write the partial fraction decomposition of the rational expression. 6x + 6 (x - 2)2

A: The given rational expression is,6x+6(x-2)2

Q: write the partial fraction decomposition of the rational expression: (4x2 + 13x - 9)/x(x - 1)(x + 3)

A: Let the given expression be f(x) - f(x) = 4x2+13x-9xx-1x+3Decomposing by partial fraction -…

Q: Write the partial fraction decomposition of the improper rational expression. x4 (x – 1)3

A:

Q: Write the partial fraction decomposition of the rational expression. x2-4x+7 (x+1)(x²-2x+3)

A: Given query is to find partial fraction decomposition of the given expression.

Q: Write the partial fraction decomposition of the rational expression.

A: It is given that expression. 7x2-7x+23x-3(x2+4)     The form of partial fraction decomposition is…

Q: Write the partial fraction decomposition of the rational expression. 5x-3 X- 4x-5 5x -3 %3D 2-4x-5…

A:

Q: Write the partial fraction decomposition of the given rational expression. 9x +3 x3 + 2x2 - 3x What…

A:

Q: Write the partial fraction decomposition of the rational expression. x +3 x3 - 2x2 +x

A:

Q: Write the partial fraction decomposition of the rational expression : (10x2 + 9x - 7)/(x + 2)(x2 -…

A: Given rational expression is 10x2+9x-7x+2x2-1 We know that a2-b2=a+ba-b So, the given expression can…

Q: Write the partial fraction decomposition of the rational expression. 7x3 - 2 x2(x + 1)3

A:

Q: Write the partial fraction decomposition of the rational expression: (3x - 5)/(x3 - 1)

A: Given expression, 3x-5x3-1 It can be written as 3x-5x3-1=3x-5x-1x2+x+1

Q: Write the partial fraction decomposition of the rational expression: (6x2 - x + 1)/(x3 + x2 + x +…

A: Consider the given rational expression  6x2-x+1x3+x2+x+1 Now, write the denominator in factor form…

Q: write the partial fraction decomposition of the rational expression: (4x2 - 7x - 3)/(x3 - x)

A: We have to write in partial fraction decomposition of the rational expression: 4x2-7x-3x3-x…

Q: write the partial fraction decomposition of the rational expression: (2x2 - 18x - 12)/(x3 - 4x)

A: We have to write in partial fraction decomposition of the rational expression: 2x2-18x-12x3-4x…

Q: write the partial fraction decomposition of the rational expression: (9x + 21)/ (x2 + 2x - 15)

A: Given, (9x + 21) (x2 + 2x - 15)

Q: Write the partial fraction decomposition of the rational expression: (3x2 - 2x + 8)/(x3 + 2x2 + 4x +…

A: Given: 3x2-2x+8x3+2x2+4x+8