Connally Functions Modeling Change Se ctice Gradebook ORION

Connally, Functions Modeling Change, Se ctice Gradebook ORION ment Chapter 11, Section 11.4, Additional Question 002 Perform the operation. Express the answer in reduced form. 6x2 35 Write your answer in the form of the ratio of polynomials wheis in simplest form. cowereP a n simplest form gix) Click here to enter or edit your answer p(x)- Clck here to enter or edst your answer y(x) = Pelicx I All Rights Reserved. A Division of 2ohn Wley &SonsInc;

Solution

f(x) = 7x + 6x^2/( 4x +5) -35/( 4 +5/x)

= 7x + 6x^2/(4x +5) - 35x/(4x +5)

Take LCD :

= [ 7x(4x+5) + 6x^2 - 35x ]/( 4x +5)

= ( 28x^2 + 35x +6x^2 -35x)/(4x +5)

= ( 34x^2 )/( 4x +5)

p(x) = 34x^2 ; q(x) = 4x +5