Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,927 users

Precal Help?

0 votes

Determine the constants (denoted by capital letters) so that the equation is an identity. Use either the equating-the-coefficients theorem, as in Example 1, the convenient-values method that was explained after Example 1, or a combination.

 

21x2  59x + 110
(3x  5)(x2 + 5)

 = 

A
3x  5

 + 

Bx + C
x2 + 5

 

A=

B=

C=

asked Jul 25, 2014 in PRECALCULUS by heather Apprentice

1 Answer

0 votes

image

image

image

image

image

Equate the image  coefficients

image

Equate the x  coefficients

image

Equate the  constants.

image

Now solve above three equations.

Multiply each side of equation (1) by negative 5.

image

To eliminate the A variable add equations (3) & (4).

image

Multiply each side of equation (2) by negative 3.

image

To eliminate the B variable add equations (5) & (6).

image

image

Substitute C value in equation (3).

image

image

image

Substitute A value in equation (1).

image

image

image

Substitute A, B and C in equation (i).

image

image

answered Jul 25, 2014 by david Expert

Related questions

asked Jul 22, 2014 in PRECALCULUS by anonymous
asked Jul 18, 2014 in ALGEBRA 2 by anonymous
...