Find the partial fraction decomposition of the expression with a denominator containing an irreducible nonrepeating quadratic factor. -6x - 54x2 + 36x + 216 x4 + 216x

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: Find the partial fraction decomposition for the rational expression. (10x+14)/(x^(2)-2x-35)

A: Consider the provided expression:

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 - 6x + 3)/(x - 2)3

A:

Q: Find the partial fraction decomposition of the following: 7x2 – 17x + 38 (x + 6)(x – 1)² -

A:

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

A: Partial fraction decomposition of the rational expression where the rational expression is given by:…

Q: Perform the long division (x4 + 2x3 - 4x2 + x - 3)/(x2 - x - 2) and write the partial fraction…

A:

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

A:

Q: Perform the long division (x5 + 2)/(x2 - 1) and write the partial fraction decomposition of the…

A: On dividing, we get

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 each rational expression.

A: Partial fraction decomposition of the rational expression where the given rational expression is…

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: Find the partial fraction decomposition of

A: 5x3-3x2+7x-3(x2+1)2

Q: *find the decomposition of the partial fraction for the nonrepeating linear factors. 9. 10x + 47 x²…

A:

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: 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 rational expression: (5x2 - 6x + 7)/(x - 1)(x2 + 1)

A: Given: 5x2-6x+7x-1x2+1 we know that given expression can be written as below…

Q: Perform the long division x5/(x2 - 4x + 4) and write the partial fraction decomposition of the…

A: Given: x5x2-4x+4.

Q: Write the partial fraction decomposition for 1/(x2 − 5x + 6).

A: Given: 1x2-5x+6

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: Find the partial fraction decomposition.

A: Given, x3+2x2+2x+16x4+7x2+10 The partial fraction decomposition of the given fraction is done as…

Q: Write the partial fraction decomposition of the improper rational expression. 81x4 (3x – 1)3

A: Given function is, 81x43x-13

Q: Find the partial fraction decomposition of the following rational expression. -5x2 + 12x +30…

A:

Q: Find the partial fraction decomposition. 5x + 6x2 + 23x+ 29 x*+9x + 20 믐 8 OP

A:

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